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ACT Math : How to find percentage

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Example Question #161 : Arithmetic

Student_activities

Above is a chart showing the students and the different activities they are involved in. What percentage of the students are on the soccer team? Round to the nearest tenth of a percent.

Possible Answers:

37.5%

32.5%

25.0%

40.0%

30.0%

Correct answer:

37.5%

Explanation:

Percentage = Students on Soccer Team / Total Number of Students

= 3/8 = .375 = 37.5%

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Example Question #162 : Arithmetic

Student_activities

What percentage of the students are involved in both newspaper and soccer?

Possible Answers:

35%

20%

30%

25%

15%

Correct answer:

25%

Explanation:

There are three students involved in soccer. Read across the chart and two of them are also involved in newspaper.

Percentage = 2/Total Number of Students

= 2/8 = .25 = 25%

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Example Question #163 : Arithmetic

The average person spends 30% of their life sleeping. Assuming the average person lives till the age of 93, how many years will they have spent asleep? Round to the nearest whole number

Possible Answers:

28 years

31 years

19 years

30 years

9 years

Correct answer:

28 years

Explanation:

This problem requires simple arithmetic, 30% of 93 can be obtained by multiply 93 X .30 = 27.9 Rounding yields 28 years.

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Example Question #1236 : Act Math

What is 9% of 8,100?

Possible Answers:

2,700

900

729

459

836

Correct answer:

729

Explanation:

8,100 * 0.09 = 729

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Example Question #11 : How To Find Percentage

76 eleventh-grade students turned in term papers on the United States Constitution. 3 students failed, 26 students recieved C's, 31 students recieved B's. The remaining students earned A's on their papers.

What percentage of students earned A's on their paper? (Round to the nearest percent.)

Possible Answers:

$\dpi{100} \small 25\%$

$\dpi{100} \small 50\%$

$\dpi{100} \small 21\%$

$\dpi{100} \small 10\%$

$\dpi{100} \small 16\%$

Correct answer:

$\dpi{100} \small 21\%$

Explanation:

Subtract 3, 26, and 31 from 76 to figure out how many students got A's (16).

$\dpi{100} \small \frac{16}{76} \times 100$

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Example Question #1238 : Act Math

What is $73\%$ of 225?

Possible Answers:

164.25

60.75

175

200

180.5

Correct answer:

164.25

Explanation:

To find the percentage of a number, convert the percentage into a decimal by diving the percent by 100.

$\frac{73}{100} = 0.73$ ,

then multiply that decimal by the number.

$225\cdot 0.73 = 164.25$

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Example Question #1239 : Act Math

$\small 15$ is what percent of $\small 48$ ? Round to the nearest hundredth.

Possible Answers:

$\small 22.95\%$

$\small 3.2\%$

$\small 31.25\%$

$\small 68.75\%$

$\small 27.5\%$

Correct answer:

$\small 31.25\%$

Explanation:

For percentage problems, the easiest way to start is by remembering that the word "of" is best translated as a multiplication, while the word "is" is best translated by an equals sign. Thus, for the information provided, we can write the equation:

$\small 15 = x * 48$

Remember, though, that $\small x$ will represent a percentage in a decimal form and will need to be translated. (There are other ways of doing this, but most students remember to do this translation at the end naturally.)

Solving for , you get:

$\small x=\frac{15}{48}=0.3125$

This is $\small 31.25\%$ .

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Example Question #1240 : Act Math

What is $\small 30\%$ of $\small 52\%$ of $\small 1837$ ?

Possible Answers:

$\small 183.14$

$\small 1506.34$

$\small 286.572$

$\small 955.24$

$\small 617.232$

Correct answer:

$\small 286.572$

Explanation:

$\small x = 0.3 * 0.52*1837$

Solving for , you get:

$\small \small x = 286.572$

Alternatively you could first calculate $52\%$ of 1837 , which is 955.24 , and then calculate $30\%$ of that, and you would arrive at the same answer.

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Example Question #11 : Other Percentage

A computer originally sold for $\$1837$ dollars. Its price was reduced by $\small 30\%$ and then again by $\small 25\%$ . What was the final sale price for the computer? Round to the nearest cent.

Possible Answers:

$\$137.78$

$\$1010.35$

$\$1699.23$

$\$826.65$

$\$964.43$

Correct answer:

$\$964.43$

Explanation:

The most common way to do a problem like this is to begin by applying the first discount, calculating the amount to be removed from the original price. This is done by multiplying the original price by $\small 0.3$ . This gives you 551.1 . This is then subtracted from $\small 1837$ to give you $\small 1285.9$ . Once again, this new number is multiplied, now by $\small 0.25$ . This gives you $\small 321.475$ . When subtracted from $\small 1285.9$ , this gives you a final price of $\small 964.425$ , or the rounded value of $\small \small 964.43$ .

A simpler way to do this is to realize that the first price reduction makes the new price to be $\small 70\%$ of the original. The second will then make the price to be $\small 75\%$ of the intermediary price. Thus, you could easily compute:

$\small \small 1837 * 0.7 * 0.75 = 964.425$

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Example Question #81 : Percentage

A $\small 150$ pound man has a body composition made up of $\small 15$ pounds of fat, $\small \small 25$ pounds of muscle, and the rest of other organs, fluid, etc. What is the percentage of his muscle composition (in comparison with his toal weight) if he increases his weight in body fat by $\small 35\%$ ? Round to the nearest hundredth of a percent.

Possible Answers:

$\small 13.04\%$

$\small 16.1\%$

$\small 13.5\%$

$\small 21.43\%$

$\small 16.67\%$

Correct answer:

$\small 16.1\%$

Explanation:

As of right now, the man has $\small 15$ pounds of body fat. If this increases by $\small 35\%$ , we he will gain $\small 0.35 * 15$ or $\small 5.25$ more pounds of body fat. This means that he will have a total of $\small 20.25$ pounds of body fat. Also, it means that his total weight will be $\small 155.25$ pounds. Therefore, his muscle, as a percent of his total weight will be:

$\small \frac{25}{155.25}=0.1610305958132$ or $\small 16.1\%$

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ACT Math : How to find percentage

Study concepts, example questions & explanations for ACT Math

All ACT Math Resources

Example Questions

Example Question #161 : Arithmetic

Example Question #162 : Arithmetic

Example Question #163 : Arithmetic

Example Question #1236 : Act Math

Example Question #11 : How To Find Percentage

Example Question #1238 : Act Math

Example Question #1239 : Act Math

Example Question #1240 : Act Math

Example Question #11 : Other Percentage

Example Question #81 : Percentage

All ACT Math Resources

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