Other Percentage - ACT Math

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Question

There are 9 marbles in a box, and 4 of them are red.

What percentage of the marbles in the box are NOT red?

Answer

There are 5 non-red marbles and 9 total marbles.

5/9 = 0.555, which is about 55%

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Question

Bryan has white socks and blue socks in his drawer, in a ratio of 4 : 7. What percent of his socks are white?

Answer

You divide the number of blue socks, 4, by the number of total socks, 11, giving you 36%.

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Question

Jack and Jill have saved up $3500 for a vacation to Bermuda. Package Deal A costs $2500 plus an additional 30% tax. Package Deal B costs $2400 with an additional 3/9 of the price added for airfare. Package deal C costs $3225 with an included 10% tax. Package deal D costs $1800 per person. Which package deal will save them the most money?

Answer

Calculate the price of each Package Deal. A = $2500(1.3) = $3250, B = $2400 (1+3/9) = $3200. C = $3225, D = $3600. Remember that 1 = 9/9 for fraction addition. Package deal C’s wording is tricky, the tax is already included. Package Deal B is the best deal.

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Question

Tim Duncan made 14 out of 16 free throws. Tony Parker made 9 out of 10 free throws. Danny Green made 7 out of 8 free throws. Whose shooting percentage was the best?

Answer

For Tim, his percentage was .875 or 87.5%. For Tony, his percentage was .90 or 90%. For Danny, his percentage was also .875 or 87.5%. Thus Tony was the best.

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Question

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

Answer

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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Question

Johnny earned 5 % commission on a car he sold for $25,000. How much money did he make?

Answer

$ sales x % Commission = $ Commission

25000 x 0.05 = 1250

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Question

What is 9% of 8,100?

Answer

8,100 * 0.09 = 729

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Question

Joey buys a sweatshirt for $35 that was originally sold for $50. What is the percent discount?

Answer

Amount of discount = original price – new price

% discount = amount of discount ÷ original price

% discount = 15/50 = 0.3 or 30%

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Question

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.

Answer

Percentage = Students on Soccer Team / Total Number of Students

= 3/8 = .375 = 37.5%

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Question

Student_activities

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

Answer

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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Question

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.)

Answer

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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Question

What number is 130% of 50?

Answer

Verbal cues are "is" and "of." Is means equals and of means multiplication.

So the equation to solve becomes which equals 65.

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Question

Sally earns 3% commission on a house she sold for $150,000. How much money did she earn?

Answer

So the equation to solve becomes or earned.

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Question

What number is 125% of 160?

Answer

Verbal cues include "is" and "of." "Is" means equals and "of" means multiply.

So the equation to solve becomes or .

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Question

A high school student spends a total of 90 minutes per day studying for the ACT, Monday through Friday, then 2 hours a day on the weekend. What percent of their week is spent studying for the ACT?

Answer

The number of minutes in a week is:

The number of minutes spent studying is:

6.8%

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Question

What is of

Answer

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

,

then multiply that decimal by the number.

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Question

is what percent of ? Round to the nearest hundredth.

Answer

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:

Remember, though, that 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:

This is .

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Question

What is of of ?

Answer

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:

Solving for , you get:

Alternatively you could first calculate of , which is , and then calculate of that, and you would arrive at the same answer.

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Question

A computer originally sold for dollars. Its price was reduced by and then again by . What was the final sale price for the computer? Round to the nearest cent.

Answer

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 . This gives you . This is then subtracted from to give you . Once again, this new number is multiplied, now by . This gives you . When subtracted from , this gives you a final price of , or the rounded value of .

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

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Question

A pound man has a body composition made up of pounds of fat, 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 ? Round to the nearest hundredth of a percent.

Answer

As of right now, the man has pounds of body fat. If this increases by , we he will gain or more pounds of body fat. This means that he will have a total of pounds of body fat. Also, it means that his total weight will be pounds. Therefore, his muscle, as a percent of his total weight will be:

or

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