Question 1

In 1988 50% of American adults were male, and 50% of American men were less than 5 ft. 9 in. Assuming the same facts apply today and assuming that there are 235 million adult Americans, how many men are under 5 ft. 9 in.?

Accepted Answer

If 50% of American adults are male, then there are 117.5 million adult American men. If 50% of American men are under 5 ft. 9 in., then half of the 117.5 million adult American men are under 5 ft. 9 in., which is 58.75 million, or 58,750,000. Therefore, the answer is (C).

Question 2

Rewrite the fraction as an exact equivalent percent. $$\frac { 1 } { 3 } =$$ $$? \quad \frac { ? } { ? } \%$$

Accepted Answer

The answer of Rewrite the fraction as an exact equivalent...

Question 3

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 17 is $$33 \frac { 1 } { 3 } \%$$ of what number?

Accepted Answer

The sentence "17 is $33 \frac { 1 } { 3 } \%$ of what number?" can be written as the proportion $\frac{17}{x} = \frac{33.333}{100}$. Solving for $x$, we get $x = \frac{17 \times 100}{33.333} = 51$.

Question 4

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What number is 150% of 6?

Accepted Answer

To write the proportion, we can set it up as:
x/6 = 150/100
Simplifying, we get:
x/6 = 3/2
Cross multiplying, we get:
2x = 18
Solving for x, we get:
x = 9
Therefore, the number that is 150% of 6 is 9. The best choice is B.

Question 5

Change the given form into the two missing forms.

Accepted Answer

The answer of Change the given form into the two...

Question 6

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What is 8% of $1,775?

Accepted Answer

The answer of Write the sentence as a proportion using...

Question 7

Change the given form into the two missing forms.

Accepted Answer

The answer of Change the given form into the two...

Question 8

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 80% of what number is 80?

Accepted Answer

The sentence "80% of what number is 80" can be written as the equation $0.80x = 80$. Solving for $x$ gives $x = \frac{80}{0.80} = 100$.

Question 9

Estimate the percentage. $33 \frac { 1 } { 3 }$ % of 4,380

Accepted Answer

$33 \frac{1}{3}\%$ is equivalent to $\frac{1}{3}$. Calculating $\frac{1}{3}$ of 4,380 gives 1,460, which is closest to 1,500.

Question 10

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 24 is what percent of 8?

Accepted Answer

The proportion can be set up as $ \frac{24}{8} = \frac{x}{100} $. Solving for $x$ gives $x = 300$, meaning 24 is 300% of 8.

Question 11

Change the given form into the two missing forms. Round to four decimal places, if necessary.

Accepted Answer

The answer of Change the given form into the two...

Question 12

Estimate the percentage. $$50 \% \text { of } 2,340$$

Accepted Answer

50% of a number is half of that number. Half of 2,340 is 1,170, which is closest to option B, 1,150.

Question 13

Grades in a classroom are often given according to the percentage score obtained by the student. Suppose that a teacher grades according to the following scheme, where all scores are rounded to the nearest percent: A $\quad 90 \% - 100 \%$
B $80 \% - 89 \%$
C $65 \% - 79 \%$
D $50 \% - 64 \%$
$\mathrm { F } \quad 0 \% - 49 \%$ To determine a percent grade, form a ratio of score received to possible score and then write this ratio as a percent. Calculate the percent (nearest percent) and determine the letter grade for each score. The student gets 1,190 answers right out of a possible 1,400. What is the percent score? __________% What is the letter grade? __________

Accepted Answer

The answer of Grades in a classroom are often given...

Question 14

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 1 is what percent of 5?

Accepted Answer

The proportion can be written as $ \frac{1}{5} = \frac{x}{100} $. Solving for $x$ gives $x = 20$, meaning 1 is 20% of 5.

Question 15

Estimate the percentage. $66 \frac { 2 } { 3 }$ % of 8,010

Accepted Answer

To find the answer, we can convert the percentage to a decimal by dividing by 100: 66 2/3 ÷ 100 = 0.6667. Then, we can multiply this decimal by 8,010 to find the percentage of 8,010. 
0.6667 x 8,010 = 5,406.7, which rounds to 5,400 (since the question does not specify a degree of precision). Therefore, the best choice is B, which is 5,400.

Question 16

Estimate the percentage. 25% of 391

Accepted Answer

The answer of Estimate the percentage. 25% of 391
...

Question 17

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What percent of 16 is 12?

Accepted Answer

The proportion can be set up as:
$$\frac{x}{100} = \frac{12}{16}$$
Cross-multiplying and solving for $x$, we get:
$$x = \frac{12}{16} \cdot 100 = 75$$
Therefore, 12 is 75% of 16. The best choice is E, which gives the correct answer of 75%.

Question 18

Estimate the percentage. 10% of 90,240

Accepted Answer

10% of 90,240 is calculated by moving the decimal point one place to the left, resulting in 9,024.

Question 19

Estimate the percentage. 10% of 96.1

Accepted Answer

To find 10% of 96.1, we can divide 96.1 by 10, which gives us 9.61. Therefore, the answer is 9.61%, which is closest to choice E, 10%.

Question 20

Grades in a classroom are often given according to the percentage score obtained by the student. Suppose that a teacher grades according to the following scheme, where all scores are rounded to the nearest percent: A $\quad 90 \% - 100 \%$
B $80 \% - 89 \%$
C $65 \% - 79 \%$
D $50 \% - 64 \%$
$\mathrm { F } \quad 0 \% - 49 \%$ To determine a percent grade, form a ratio of score received to possible score and then write this ratio as a percent. Calculate the percent (nearest percent) and determine the letter grade for each score. The student gets 56 answers right out of a possible 100. What is the percent score? __________% What is the letter grade? __________

Accepted Answer

The answer of Grades in a classroom are often given...

Quiz 4: Percents and Problem Solving

In 1988 50% of American adults were male, and 50% of American men were less than 5 ft. 9 in. Assuming the same facts apply today and assuming that there are 235 million adult Americans, how many men are under 5 ft. 9 in.?

Rewrite the fraction as an exact equivalent percent. $\frac { 1 } { 3 } =$ $? \quad \frac { ? } { ? } \%$

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 17 is $33 \frac { 1 } { 3 } \%$ of what number?

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What number is 150% of 6?

Change the given form into the two missing forms.

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What is 8% of $1,775?

Change the given form into the two missing forms.

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 80% of what number is 80?

Estimate the percentage. $33 \frac { 1 } { 3 }$ % of 4,380

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 24 is what percent of 8?

Change the given form into the two missing forms. Round to four decimal places, if necessary.

Estimate the percentage. $50 \% \text { of } 2,340$

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 1 is what percent of 5?

Estimate the percentage. $66 \frac { 2 } { 3 }$ % of 8,010

Estimate the percentage. 25% of 391

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What percent of 16 is 12?

Estimate the percentage. 10% of 90,240

Estimate the percentage. 10% of 96.1

Quiz 4: Percents and Problem Solving

In 1988 50% of American adults were male, and 50% of American men were less than 5 ft. 9 in. Assuming the same facts apply today and assuming that there are 235 million adult Americans, how many men are under 5 ft. 9 in.?

Rewrite the fraction as an exact equivalent percent. 13=\frac { 1 } { 3 } =31​= ???%? \quad \frac { ? } { ? } \%???​%

Write the sentence as a proportion using xxx as the variable. Solve the proportion to answer the question. 17 is 3313%33 \frac { 1 } { 3 } \%3331​% of what number?

Write the sentence as a proportion using xxx as the variable. Solve the proportion to answer the question. What number is 150% of 6?

Change the given form into the two missing forms.

Write the sentence as a proportion using xxx as the variable. Solve the proportion to answer the question. What is 8% of $1,775?

Change the given form into the two missing forms.

Write the sentence as a proportion using xxx as the variable. Solve the proportion to answer the question. 80% of what number is 80?

Estimate the percentage. 331333 \frac { 1 } { 3 }3331​ % of 4,380

Write the sentence as a proportion using xxx as the variable. Solve the proportion to answer the question. 24 is what percent of 8?

Change the given form into the two missing forms. Round to four decimal places, if necessary.

Estimate the percentage. 50% of 2,34050 \% \text { of } 2,34050% of 2,340

Write the sentence as a proportion using xxx as the variable. Solve the proportion to answer the question. 1 is what percent of 5?

Estimate the percentage. 662366 \frac { 2 } { 3 }6632​ % of 8,010

Estimate the percentage. 25% of 391

Write the sentence as a proportion using xxx as the variable. Solve the proportion to answer the question. What percent of 16 is 12?

Estimate the percentage. 10% of 90,240

Estimate the percentage. 10% of 96.1

Rewrite the fraction as an exact equivalent percent. $\frac { 1 } { 3 } =$ $? \quad \frac { ? } { ? } \%$

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 17 is $33 \frac { 1 } { 3 } \%$ of what number?

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What number is 150% of 6?

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What is 8% of $1,775?

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 80% of what number is 80?

Estimate the percentage. $33 \frac { 1 } { 3 }$ % of 4,380

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 24 is what percent of 8?

Estimate the percentage. $50 \% \text { of } 2,340$

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. 1 is what percent of 5?

Estimate the percentage. $66 \frac { 2 } { 3 }$ % of 8,010

Write the sentence as a proportion using $x$ as the variable. Solve the proportion to answer the question. What percent of 16 is 12?