Percent Proportions 2012 York

1) What number is 35% of 72?

62.8

159

0.02

25.2

To find out what number is 35% of 72, we can multiply 72 by 0.35. This gives us 25.2, which means that 25.2 is 35% of 72. Therefore, the correct answer is 25.2.

Explanation

To find out what number is 35% of 72, we can multiply 72 by 0.35. This gives us 25.2, which means that 25.2 is 35% of 72. Therefore, the correct answer is 25.2.

2) Jessica has $4.00 in her pocket. This is 10% of her monthly allowance. What is her monthly allowance?

$400.00

$40

$10

$100

Jessica has $4.00 in her pocket, which is 10% of her monthly allowance. To find her monthly allowance, we can set up a proportion: 10% is to $4.00 as 100% (or the whole) is to the unknown monthly allowance. Solving this proportion, we find that the monthly allowance is $40.

Explanation

Jessica has $4.00 in her pocket, which is 10% of her monthly allowance. To find her monthly allowance, we can set up a proportion: 10% is to $4.00 as 100% (or the whole) is to the unknown monthly allowance. Solving this proportion, we find that the monthly allowance is $40.

3) When you leave a tip, it should be 15% of the total bill. So, if you had an Applebee's bill of $9.00, how much tip should you leave?

$4.50

$1.20

0.60

$1.35

When you leave a tip, it is customary to leave 15% of the total bill amount. In this case, the total bill is $9.00. To calculate the tip, we can multiply $9.00 by 0.15 (which is the decimal equivalent of 15%). This calculation gives us $1.35, which is the amount of tip that should be left.

Explanation

When you leave a tip, it is customary to leave 15% of the total bill amount. In this case, the total bill is $9.00. To calculate the tip, we can multiply $9.00 by 0.15 (which is the decimal equivalent of 15%). This calculation gives us $1.35, which is the amount of tip that should be left.

4) What is 8% of 17.5?

45.7

218.75

1.4

8

To find 8% of 17.5, we can multiply 17.5 by 0.08 (which is the decimal form of 8%). This calculation gives us 1.4, which is the correct answer.

Explanation

To find 8% of 17.5, we can multiply 17.5 by 0.08 (which is the decimal form of 8%). This calculation gives us 1.4, which is the correct answer.

5) What percent of 65 is 13?

0,2%

20%

48%

200%

To find the percentage of one number in relation to another number, we divide the first number by the second number and then multiply by 100. In this case, dividing 13 by 65 gives us 0.2, and multiplying by 100 gives us 20%. Therefore, 20% is the correct answer.

Explanation

To find the percentage of one number in relation to another number, we divide the first number by the second number and then multiply by 100. In this case, dividing 13 by 65 gives us 0.2, and multiplying by 100 gives us 20%. Therefore, 20% is the correct answer.

6) In a percent problem, you need to look for which of the following?

The percent

The "of"

The "is"

All of the above

In a percent problem, you need to look for all of the above - the percent, the "of", and the "is". This is because these three elements are essential in understanding and solving the problem. The percent represents the rate or proportion, the "of" indicates the whole or base quantity, and the "is" represents the unknown value that needs to be determined. By considering all of these components, you can accurately calculate the percentage in question.

Explanation

In a percent problem, you need to look for all of the above - the percent, the "of", and the "is". This is because these three elements are essential in understanding and solving the problem. The percent represents the rate or proportion, the "of" indicates the whole or base quantity, and the "is" represents the unknown value that needs to be determined. By considering all of these components, you can accurately calculate the percentage in question.

7) 25% of $3.20 is how much?

$0.25

$0.08

$0.80

$8.00

To find 25% of $3.20, you can multiply $3.20 by 0.25. This is because 25% is equivalent to 0.25 as a decimal. When you multiply $3.20 by 0.25, you get $0.80. Therefore, $0.80 is 25% of $3.20.

Explanation

To find 25% of $3.20, you can multiply $3.20 by 0.25. This is because 25% is equivalent to 0.25 as a decimal. When you multiply $3.20 by 0.25, you get $0.80. Therefore, $0.80 is 25% of $3.20.

8) What percent of 200 is 0.5?

0.25%

25%

2.5%

250%

To find out what percent of 200 is 0.5, we can set up a proportion. Let x be the unknown percent. The proportion can be written as x/100 = 0.5/200. Cross-multiplying gives us x = (0.5/200) * 100. Simplifying further, x = 0.25%. Therefore, 0.25% is the correct answer.

Explanation

To find out what percent of 200 is 0.5, we can set up a proportion. Let x be the unknown percent. The proportion can be written as x/100 = 0.5/200. Cross-multiplying gives us x = (0.5/200) * 100. Simplifying further, x = 0.25%. Therefore, 0.25% is the correct answer.

9) What is missing in the following problem: 6 is what percent of 12?

The percent

The "of"

The "is"

The question mark

The missing element in the problem is "the percent". The problem is asking for the percentage that 6 represents out of 12.

Explanation

The missing element in the problem is "the percent". The problem is asking for the percentage that 6 represents out of 12.

10) What percent of 45 is 72?

32.5%

160%

62.5%

127%

The correct answer is 160%. To find the percentage, we divide the given number (72) by the total number (45) and multiply by 100. In this case, (72/45) * 100 = 160%. This means that 72 is 160% of 45.

Explanation

The correct answer is 160%. To find the percentage, we divide the given number (72) by the total number (45) and multiply by 100. In this case, (72/45) * 100 = 160%. This means that 72 is 160% of 45.

11) 55 is 40% of what number?

22

115

72.7

137.5

To find 40% of a number, you can multiply the number by 0.4. In this case, dividing 55 by 0.4 gives us the number that 55 is 40% of. The result is 137.5, so the correct answer is 137.5.

Explanation

To find 40% of a number, you can multiply the number by 0.4. In this case, dividing 55 by 0.4 gives us the number that 55 is 40% of. The result is 137.5, so the correct answer is 137.5.

12) 1% of what number is 7?

70

0.07

14.28

700

To find 1% of a number, we divide the number by 100. In this case, we need to find a number where 1% of it equals 7. So, we can set up the equation: (1/100) * x = 7. Solving for x, we multiply both sides by 100, which cancels out the denominator, and we get x = 700. Therefore, the correct answer is 700.

Explanation

To find 1% of a number, we divide the number by 100. In this case, we need to find a number where 1% of it equals 7. So, we can set up the equation: (1/100) * x = 7. Solving for x, we multiply both sides by 100, which cancels out the denominator, and we get x = 700. Therefore, the correct answer is 700.

13) What happens when you multiply a number by 10% ?

The decimal moves one place to the right.

The decimal moves two places to the right.

The decimal moves one place to the left.

The decimal moves two places to the left.

When you multiply a number by 10%, you are essentially multiplying it by 0.1. To move the decimal one place to the left, you divide the number by 10. This means that the decimal moves one place to the left.

Explanation

When you multiply a number by 10%, you are essentially multiplying it by 0.1. To move the decimal one place to the left, you divide the number by 10. This means that the decimal moves one place to the left.

14) Out of the 200 students in the 7th grade, 170 went on the field trip. What percent did NOT go on the field trip?

15%

85%

10%

30%

The percentage of students who did NOT go on the field trip can be calculated by subtracting the percentage of students who went on the field trip from 100%. In this case, since 170 out of 200 students went on the field trip, the percentage of students who did NOT go on the field trip is 100% - (170/200) * 100% = 85%.

Explanation

The percentage of students who did NOT go on the field trip can be calculated by subtracting the percentage of students who went on the field trip from 100%. In this case, since 170 out of 200 students went on the field trip, the percentage of students who did NOT go on the field trip is 100% - (170/200) * 100% = 85%.

15) What is missing in the following problem: What number 12% of 6?

The percent

The "of"

The "is"

None of the above

The word "is" is missing in the problem. The correct sentence should be "What number is 12% of 6?" The word "is" is necessary to properly structure the sentence and convey the meaning of the problem.

Explanation

The word "is" is missing in the problem. The correct sentence should be "What number is 12% of 6?" The word "is" is necessary to properly structure the sentence and convey the meaning of the problem.