How to find percentage

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SAT Math › How to find percentage

Questions 1 - 10
1

What percent of 250 is 20?

Explanation

Verbal cues include "of" and "is." Of means multiplication and is means equals

The equation to solve becomes so

2

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.

Explanation

The number of boys adds up to

The number of girls adds up to

The total number of students is therefore .

The percent of the students that are boys is

,

making 48% the closest choice.

3

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?

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:

If we combine like terms, we get:

And if we solve for x, we get:

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.

, therefore, Marisa needs to earn 62 more votes.

4

If there are 36 students in a class and the teacher wants the top 25% of the students to move up to the advanced level course. How many students will remain in the class?

26

27

28

29

30

Explanation

The key here is to find 25% of the total class (36), and subtract that value from the total (36). You can also look at the problem from reversely and find how many students are in the remaining 75% of the total 36. Remember to change the percent to a decimal for easy calculation. 36- 0.25(36)= 27 or 0.75(36)=27

5

13 is what percent of 25?

Explanation

To solve this problem, we should set up the following proportion

where x is the percentage we are looking for.

To solve, simply cross multiply and solve for x.

Therefore, our answer is 52%.

6

What percent of is ?

Explanation

Let's set up a proportion to solve this problem.

We're looking for a percentage, .

Our answer is

7

Joaquin is running for Prom King. If he receives of the votes from a senior class of students, and of the votes from a junior class of students, how many votes did he receive in total?

Explanation

First, we find how many seniors voted for him:

0.30 * 200 = 60 seniors

Then we find how many juniors using the same method

0.60 * 250 = 150 Juniors

Finally, we add the two together

60 + 150 = 210 students total

8

What number is 125% of 60?

90

66

75

80

60

Explanation

Translate this into a mathematical equation:

x = 1.25 * 60

x = 75

9

An organic farmer has had a stall at the market for three years. The first year she sold 500 pounds of tomatoes. The second year she sold 650 pounds of tomatoes. The third year she sold 750 pounds of tomatoes. What is the percentage increase in sales from year 1 to 2 and year 2 to 3? Round to one decimal point.

30.0% / 15.4%

30.0% / 20.0%

50.0% / 20%

20.0% / 15.4%

20.0% / 23.1%

Explanation

Year 2 Percentage increase =

(Year 2 – Year 1) / Year 1 =

(650 – 500) / 500 = 150 / 500 = .3 = 30.0%

Year 3 Percentage increase =

(Year 3 – Year 2) / Year 2 =

(750 – 650) / 650 = 100 / 650 = .154 = 15.4%

10

What percent of is ?

Explanation

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

Now we can cross-multiply to find our percent.

Therefore, our answer is .

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