Call Now to Set Up Tutoring:

(888) 888-0446

New SAT Math - Calculator : Conversions

Study concepts, example questions & explanations for New SAT Math - Calculator

Create An Account

All New SAT Math - Calculator Resources

2 Diagnostic Tests 27 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #3 : Solving Word Problems With One Unit Conversion

A carpenter is making a model house and he buys $8\textup{ feet}$ $\displaystyle 8\textup{ feet}$ of crown moulding to use as accent pieces. He needs $24\textup{ inches}$ $\displaystyle 24\textup{ inches}$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$2 \textup{ feet}$ $\displaystyle 2 \textup{ feet}$

$2 \tfrac{2}{3}\textup{ feet}$ $\displaystyle 2 \tfrac{2}{3}\textup{ feet}$

$1 \tfrac{1}{2}\textup{ feet}$ $\displaystyle 1 \tfrac{1}{2}\textup{ feet}$

$2 \tfrac{3}{4}\textup{ feet}$ $\displaystyle 2 \tfrac{3}{4}\textup{ feet}$

$2 \tfrac{1}{2}\textup{ feet}$ $\displaystyle 2 \tfrac{1}{2}\textup{ feet}$

Correct answer:

$2 \textup{ feet}$ $\displaystyle 2 \textup{ feet}$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $24\ inches$ $\displaystyle 24\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$24\ inches:x\ feet\rightarrow \frac{24\ inches}{x\ feet}$ $\displaystyle 24\ inches:x\ feet\rightarrow \frac{24\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{24\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{24\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=24\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=24\ inches \times (1\ foot)$

Simplify.

12x=24 $\displaystyle 12x=24$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{24}{12}$ $\displaystyle \frac{12x}{12}=\frac{24}{12}$

Solve.

$x=2 \ feet$ $\displaystyle x=2 \ feet$

The carpenter needs $2 \ feet$ $\displaystyle 2 \ feet$ of material.

Report an Error

Example Question #91 : Ratio And Proportion

A carpenter is making a model house and he buys $8\textup{ feet}$ $\displaystyle 8\textup{ feet}$ of crown moulding to use as accent pieces. He needs $38\textup{ inches}$ $\displaystyle 38\textup{ inches}$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$3 \tfrac{1}{2} \textup{ feet}$ $\displaystyle 3 \tfrac{1}{2} \textup{ feet}$

$3 \tfrac{1}{6}\textup{ feet}$ $\displaystyle 3 \tfrac{1}{6}\textup{ feet}$

$3 \tfrac{5}{6}\textup{ feet}$ $\displaystyle 3 \tfrac{5}{6}\textup{ feet}$

$2 \tfrac{5}{6}\textup{ feet}$ $\displaystyle 2 \tfrac{5}{6}\textup{ feet}$

$3 \tfrac{3}{4}\textup{ feet}$ $\displaystyle 3 \tfrac{3}{4}\textup{ feet}$

Correct answer:

$3 \tfrac{1}{6}\textup{ feet}$ $\displaystyle 3 \tfrac{1}{6}\textup{ feet}$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $38\ inches$ $\displaystyle 38\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$38\ inches:x\ feet\rightarrow \frac{38\ inches}{x\ feet}$ $\displaystyle 38\ inches:x\ feet\rightarrow \frac{38\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{38\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{38\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=38\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=38\ inches \times (1\ foot)$

Simplify.

12x=38 $\displaystyle 12x=38$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{38}{12}$ $\displaystyle \frac{12x}{12}=\frac{38}{12}$

Solve.

$x=3 \tfrac{2}{12} \ feet$ $\displaystyle x=3 \tfrac{2}{12} \ feet$

Reduce.

$x=3 \tfrac{1}{6} \ feet$ $\displaystyle x=3 \tfrac{1}{6} \ feet$

The carpenter needs $3 \tfrac{1}{6} \ feet$ $\displaystyle 3 \tfrac{1}{6} \ feet$ of material.

Report an Error

Example Question #11 : Solving Word Problems With One Unit Conversion

A carpenter is making a model house and he buys $8\textup{ feet}$ $\displaystyle 8\textup{ feet}$ of crown moulding to use as accent pieces. He needs $64\textup{ inches}$ $\displaystyle 64\textup{ inches}$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$4 \tfrac{1}{3} \textup{ feet}$ $\displaystyle 4 \tfrac{1}{3} \textup{ feet}$

$5 \tfrac{2}{3} \textup{ feet}$ $\displaystyle 5 \tfrac{2}{3} \textup{ feet}$

$5 \tfrac{1}{3} \textup{ feet}$ $\displaystyle 5 \tfrac{1}{3} \textup{ feet}$

$6 \tfrac{1}{3} \textup{ feet}$ $\displaystyle 6 \tfrac{1}{3} \textup{ feet}$

$4 \tfrac{2}{3} \textup{ feet}$ $\displaystyle 4 \tfrac{2}{3} \textup{ feet}$

Correct answer:

$5 \tfrac{1}{3} \textup{ feet}$ $\displaystyle 5 \tfrac{1}{3} \textup{ feet}$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $64\ inches$ $\displaystyle 64\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$64\ inches:x\ feet\rightarrow \frac{64\ inches}{x\ feet}$ $\displaystyle 64\ inches:x\ feet\rightarrow \frac{64\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{64\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{64\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=64\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=64\ inches \times (1\ foot)$

Simplify.

12x=64 $\displaystyle 12x=64$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{64}{12}$ $\displaystyle \frac{12x}{12}=\frac{64}{12}$

Solve.

$x=5 \tfrac{4}{12} \ feet$ $\displaystyle x=5 \tfrac{4}{12} \ feet$

Reduce.

$x=5 \tfrac{1}{3} \ feet$ $\displaystyle x=5 \tfrac{1}{3} \ feet$

The carpenter needs $5 \tfrac{1}{3} \ feet$ $\displaystyle 5 \tfrac{1}{3} \ feet$ of material.

Report an Error

Example Question #12 : Solving Word Problems With One Unit Conversion

A carpenter is making a model house and he buys $8\textup{ feet}$ $\displaystyle 8\textup{ feet}$ of crown moulding to use as accent pieces. He needs $72\textup{ inches}$ $\displaystyle 72\textup{ inches}$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$4 \textup{ feet}$ $\displaystyle 4 \textup{ feet}$

$6 \tfrac{1}{3} \textup{ feet}$ $\displaystyle 6 \tfrac{1}{3} \textup{ feet}$

$7 \textup{ feet}$ $\displaystyle 7 \textup{ feet}$

$5\textup{ feet}$ $\displaystyle 5\textup{ feet}$

$6 \textup{ feet}$ $\displaystyle 6 \textup{ feet}$

Correct answer:

$6 \textup{ feet}$ $\displaystyle 6 \textup{ feet}$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $72\ inches$ $\displaystyle 72\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$72\ inches:x\ feet\rightarrow \frac{72\ inches}{x\ feet}$ $\displaystyle 72\ inches:x\ feet\rightarrow \frac{72\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{72\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{72\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=72\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=72\ inches \times (1\ foot)$

Simplify.

12x=72 $\displaystyle 12x=72$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{72}{12}$ $\displaystyle \frac{12x}{12}=\frac{72}{12}$

Solve.

$x=6 \ feet$ $\displaystyle x=6 \ feet$

The carpenter needs $6 \ feet$ $\displaystyle 6 \ feet$ of material.

Report an Error

View Tutors

Carol
Certified Tutor

Valparaiso University, Bachelor of Science, Elementary School Teaching.

View Tutors

Michael
Certified Tutor

University of Massachusetts Amherst, Bachelor in Arts, Political Science and Government. University of Massachusetts Amherst,...

View Tutors

Olga
Certified Tutor

Case Western Reserve University, Bachelor in Arts, English. Arizona School of Integrative Studies, Certificate, Massage Thera...

All New SAT Math - Calculator Resources

2 Diagnostic Tests 27 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Computer Science Tutors in San Diego, Calculus Tutors in New York City, GRE Tutors in San Diego, Algebra Tutors in Phoenix, LSAT Tutors in Phoenix, MCAT Tutors in San Diego, Math Tutors in Houston, SAT Tutors in San Diego, Physics Tutors in Miami, Physics Tutors in Boston

Popular Courses & Classes

SSAT Courses & Classes in Washington DC, SSAT Courses & Classes in Denver, GMAT Courses & Classes in Chicago, ISEE Courses & Classes in Philadelphia, Spanish Courses & Classes in Miami, SAT Courses & Classes in Philadelphia, ISEE Courses & Classes in Los Angeles, SSAT Courses & Classes in Boston, GRE Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in San Diego

Popular Test Prep

GMAT Test Prep in Chicago, GMAT Test Prep in Miami, GRE Test Prep in Chicago, GRE Test Prep in Boston, SSAT Test Prep in San Francisco-Bay Area, SAT Test Prep in Houston, GMAT Test Prep in Boston, SSAT Test Prep in Miami, SSAT Test Prep in Denver, ISEE Test Prep in Denver

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

New SAT Math - Calculator : Conversions

Study concepts, example questions & explanations for New SAT Math - Calculator

All New SAT Math - Calculator Resources

Example Questions

Example Question #3 : Solving Word Problems With One Unit Conversion

Example Question #91 : Ratio And Proportion

Example Question #11 : Solving Word Problems With One Unit Conversion

Example Question #12 : Solving Word Problems With One Unit Conversion

All New SAT Math - Calculator Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: