Solving Word Problems with Multiple Unit Conversions - SAT Math

Card 0 of 52

Question

How many $\textup{centimeters}$ are in $13\textup { meters?}$

Answer

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{13\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 13\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 13\ meters}{.01\ meter}= x\ centimeters$

The will cancel and we are left with $1,300\ centimeters$

Compare your answer with the correct one above

Question

How many $\textup { centimeters}$ are in $5\textup { meters?}$

Answer

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{5\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 5\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 5\ meters}{.01\ meter}= x\ centimeters$

The will cancel and we are left with $500\ centimeters$

Compare your answer with the correct one above

Question

How many $\textup{centimeters}$ are in $13\textup { meters?}$

Answer

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{13\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 13\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 13\ meters}{.01\ meter}= x\ centimeters$

The will cancel and we are left with $1,300\ centimeters$

Compare your answer with the correct one above

Question

How many $\textup { centimeters}$ are in $5\textup { meters?}$

Answer

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{5\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 5\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 5\ meters}{.01\ meter}= x\ centimeters$

The will cancel and we are left with $500\ centimeters$

Compare your answer with the correct one above

Question

The local track is yds. How many laps would a student need to cover to run miles?

Answer

$\frac{1, lap}{400, yds}\frac{1, yd}{3, ft}\frac{5280, ft}{1, mi}*3, miles=13.2, laps$

Compare your answer with the correct one above

Question

Nancy is visiting her grandmother who lives from her home. Her car’s tank has a full tank ( liters) at the beginning of her drive and uses liter to drive kilometers. How many liters will she need to refill to reach her grandmother’s house with liters left in the tank?

Answer

The correct answer is liters. $\frac{6, kilometers}{1, liter}20, liters=120km$ . . $\frac{1, liter}{6, kilometers}80, kilometers=13.3, liters$ .

Compare your answer with the correct one above

Question

A future pharmacist is unsure what dose they should fill to ensure a patient takes a -mg tablet times a day for one whole week. What is the total dosage they should prescribe?

Answer

The correct answer is mg. $\frac{35, mg}{1, tablet}\frac{4, tablet}{1, day}\frac{7, days}{1, week}=980mg$ .

Compare your answer with the correct one above

Question

A patient is prescribed of a certain drug per day and is allowed to refill his prescription twice. If there are tablets in a prescription, and each tablet has , how many doses are in the prescriptions (original + refills)?

Answer

$3, prescriptions\frac{18, tablets}{1, prescription}\frac{24, mg}{1, tablet}*\frac{1, dose}{16, mg}=81, doses$

Compare your answer with the correct one above

Question

A fruit farm produces strawberries and employs workers. Each worker can pick pounds of berries per hour and work an -hour shift. If each pound of strawberries can be sold for , how much money does the farm make every day?

Answer

The key here is to ensure your units cancel out. $\frac{3, lbs}{1, worker1, hr}\frac{4, dollars}{1, lb}\frac{8, hrs7, workers}{1, day, of, labor}=$672$ .

Compare your answer with the correct one above

Question

A record has a radius of inches with the needle resting on the outer circumference of the record. If the record rotates at a speed of $\frac{\pi }{4}$ radians/sec and it takes minutes to play a full song, how inches of track have been covered by the end of the song?

Answer

Circumference $=2\pi r=10\pi$ inches. The key here is to ensure your units cancel out. $\frac{10\pi , inches}{1, revolution}\frac{1, revolution}{2\pi , radians}\frac{\frac{\pi }{4}, radians}{1, second}\frac{60, seconds}{1, minute}3, minutes=706.5$ inch.

Compare your answer with the correct one above

Question

A student was traveling miles per hour. What is the student’s speed in feet per second?

Answer

$\frac{50, mi}{1, hr}\frac{1, hr}{3600, sec}\frac{5280, ft}{1, mi}=73.3, ft/sec$

Compare your answer with the correct one above

Question

Convert $9, ft^{3}$ to $yd^{3}$ .

Answer

$9, ft^{3}\left ( \frac{1, yd}{3, ft} \right )^{3}=9, ft^{3}\left ( \frac{1, yd^{3}}{27, ft^{3}} \right )=0.33, yd^{3}$

Compare your answer with the correct one above

Question

A blood bank was hoping to collect gallons of blood over the holiday season. If people came in and donated a pint of blood each, how many gallons were they short?

Answer

$250, pints\frac{1, qt}{2, pints}\frac{1, gallon}{4, qt}=31.25$ gallons collected. gallons short.

Compare your answer with the correct one above

Question

How many seconds are in a week?

Answer

$1, week\frac{7, days}{1, week}\frac{24, hr}{1, day}\frac{60, min}{1, hr}\frac{60, sec}{1, min}=604,800$

Compare your answer with the correct one above

Question

How many $\textup{centimeters}$ are in $13\textup { meters?}$

Answer

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{13\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 13\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 13\ meters}{.01\ meter}= x\ centimeters$

The will cancel and we are left with $1,300\ centimeters$

Compare your answer with the correct one above

Question

How many $\textup { centimeters}$ are in $5\textup { meters?}$

Answer

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{5\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 5\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 5\ meters}{.01\ meter}= x\ centimeters$

The will cancel and we are left with $500\ centimeters$

Compare your answer with the correct one above

Question

How many $\textup{centimeters}$ are in $13\textup { meters?}$

Answer

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{13\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 13\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 13\ meters}{.01\ meter}= x\ centimeters$

The will cancel and we are left with $1,300\ centimeters$

Compare your answer with the correct one above

Question

How many $\textup { centimeters}$ are in $5\textup { meters?}$

Answer

To solve this problem we can make proportions.

We know that $1\ centimeter= .01\ meters$ and we can use as our unknown.

$\frac{1\ centimeter}{.01\ meter}=\frac{x\ centimeters}{5\ meters}$

Next, we want to cross multiply and divide to isolate the on one side.

$1\ centimeter\times 5\ meters=.01\ meter\times x\ centimeters$

$\frac{1\ centimeter\times 5\ meters}{.01\ meter}= x\ centimeters$

The will cancel and we are left with $500\ centimeters$

Compare your answer with the correct one above

Question

The local track is yds. How many laps would a student need to cover to run miles?

Answer

$\frac{1, lap}{400, yds}\frac{1, yd}{3, ft}\frac{5280, ft}{1, mi}*3, miles=13.2, laps$

Compare your answer with the correct one above

Question

Nancy is visiting her grandmother who lives from her home. Her car’s tank has a full tank ( liters) at the beginning of her drive and uses liter to drive kilometers. How many liters will she need to refill to reach her grandmother’s house with liters left in the tank?

Answer

The correct answer is liters. $\frac{6, kilometers}{1, liter}20, liters=120km$ . . $\frac{1, liter}{6, kilometers}80, kilometers=13.3, liters$ .

Compare your answer with the correct one above

Tap the card to reveal the answer