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SAT Math : Other Percentage

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Example Questions

Example Question #111 : Percentage

Classroom table

Jones Elementary School has seven eighth-grade teachers; each teacher has the number of boys and girls listed above.

What percent of the students in eighth-grade are boys? Choose the closest answer.

Possible Answers:

$42 \%$ $\displaystyle 42 \%$

$46 \%$ $\displaystyle 46 \%$

$44 \%$ $\displaystyle 44 \%$

$4 8 \%$ $\displaystyle 4 8 \%$

$50 \%$ $\displaystyle 50 \%$

Correct answer:

$4 8 \%$ $\displaystyle 4 8 \%$

Explanation:

The number of boys adds up to

$\displaystyle 13+15+12+17+14+18+11 = 100$

The number of girls adds up to

$\displaystyle 17+15+ 18+13 +16+11+18 = 108$

The total number of students is therefore $\displaystyle 100 +108 = 208$.

The percent of the students that are boys is

$\frac{100}{208} \times 100 \% \approx 48.1 \%$ $\displaystyle \frac{100}{208} \times 100 \% \approx 48.1 \%$,

making 48% the closest choice.

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Example Question #281 : Arithmetic

What percent of 250 $\displaystyle 250$ is $\displaystyle 35$?

Possible Answers:

$24\%$ $\displaystyle 24\%$

$20\%$ $\displaystyle 20\%$

$10\%$ $\displaystyle 10\%$

$14\%$ $\displaystyle 14\%$

$25\%$ $\displaystyle 25\%$

Correct answer:

$14\%$ $\displaystyle 14\%$

Explanation:

We can set up a proportion to solve this problem. Remember that a percentage can be written as a fraction.

$\frac{35}{250} = \frac{x}{100}$ $\displaystyle \frac{35}{250} = \frac{x}{100}$

Now we can cross-multiply to find our percent.

$\displaystyle 250x = 3500$

x=14 $\displaystyle x=14$

Therefore, our answer is $14\%$ $\displaystyle 14\%$.

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Example Question #115 : Percentage

Marisa and Ted are running for senior class president. 150 votes have been tallied so far; 88 for Marisa and 62 for Ted. If 250 students total are voting, how many more votes must Marisa win in order to defeat Ted and earn exactly 50% more votes than him?

Possible Answers:

$\displaystyle 62$

$\displaystyle 77$

150 $\displaystyle 150$

100 $\displaystyle 100$

125 $\displaystyle 125$

Correct answer:

$\displaystyle 62$

Explanation:

For Marisa to earn 50% more votes than Ted, she will need to earn 1.5 times his amount of votes. If we call Ted's amount of votes x, and the total number of votes is 250, we can set up the equation:

$\displaystyle x+1.5x=250$

If we combine like terms, we get:

$\displaystyle 2.5x=250$

And if we solve for x, we get:

x=100 $\displaystyle x=100$

This means that Ted will get 100 votes. Since there are 250 votes total, we can figure out that Marisa will end up with 150 votes.

The question asks "how many more votes must Marisa win in order to defeat Ted and earn exactly 50% more votes than him?" and tells us that Marisa already has 88 votes.

$\displaystyle 150-88=62$, therefore, Marisa needs to earn 62 more votes.

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Example Question #21 : Other Percentage

What percent of 150 $\displaystyle 150$ is $\displaystyle 45$?

Possible Answers:

$40\%$ $\displaystyle 40\%$

$30\%$ $\displaystyle 30\%$

$35\%$ $\displaystyle 35\%$

$50\%$ $\displaystyle 50\%$

Correct answer:

$30\%$ $\displaystyle 30\%$

Explanation:

This question involves the verbal cues "of" and "is." "Of" means to multiply and "is" means equal.

Thus the equation to solve becomes: $0.01P\times 150=45$ $\displaystyle 0.01P\times 150=45$.

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SAT Math : Other Percentage

Study concepts, example questions & explanations for SAT Math

All SAT Math Resources

Example Questions

Example Question #111 : Percentage

Example Question #281 : Arithmetic

Example Question #115 : Percentage

Example Question #21 : Other Percentage

All SAT Math Resources

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