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GED Math : Proportions and Percentages

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Example Question #51 : Proportions And Percentages

Solve the proportion: $\frac{2}{x} = \frac{19}{3}$

Possible Answers:

$\frac{19}{3}$

$\frac{6}{19}$

$\frac{19}{6}$

$\frac{5}{19}$

$\frac{38}{3}$

Correct answer:

$\frac{6}{19}$

Explanation:

To solve for the unknown variable, we will need to cross multiply both sides.

2(3) =19x

6 = 19x

Divide by 19 on both sides.

$\frac{6}{19} =\frac{ 19x}{19}$

The answer is: $\frac{6}{19}$

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Example Question #81 : Complex Operations

What percent of 60 is 5?

Possible Answers:

$4\frac{1}{2}\%$

$\frac{1}{12}\%$

$6\frac{3}{4}\%$

$7\frac{2}{3}\%$

$8\frac{1}{3}\%$

Correct answer:

$8\frac{1}{3}\%$

Explanation:

Set up an equation such that some number out of 100 times 60 is equal to 5.

$x\% \cdot 60 = 5$

$\frac{x}{100}\cdot 60 = 5$

$\frac{3}{5}x = 5$

Multiply both sides by $\frac{5}{3}$ .

$\frac{3}{5}x \cdot \frac{5}{3}= 5 \cdot \frac{5}{3}$

$x=\frac{25}{3} = 8\frac{1}{3}$

The answer is: $8\frac{1}{3}\%$

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Example Question #53 : Proportions And Percentages

What is $44\%$ of ?

Possible Answers:

3212

60.27

32.12

163.63

31.22

Correct answer:

32.12

Explanation:

For percentage problems, the following is the easiest way to get to the correct answer. Always convert the following:

"is":

"of":

For your problem, it is very easy, for you are merely looking for $44\%$ of . Remember that $44\%$ is 0.44 . Therefore, your answer is merely:

0.44*73=32.12

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Example Question #54 : Proportions And Percentages

What is $58\%$ of $63\%$ of $124\%$ of 891 ? Round to the nearest hundredth.

Possible Answers:

375.22

322.87

403.71

421.22

544.85

Correct answer:

403.71

Explanation:

For percentage problems, the following is the easiest way to get to the correct answer. Always convert the following:

"is":

"of":

For your problem, it is relatively easy. First convert your percentages into the following decimal values:

$58\%:0.58$

$63\%:0.63$

$124\%:1.24$

Therefore, your answer is merely:

0.58*0.63*1.24*891=403.708536

Round this to 403.71

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Example Question #55 : Proportions And Percentages

What is 10% of 140 ?

Possible Answers:

130

Correct answer:

Explanation:

To find a percentage of a whole number, we will multiply the percentage by the whole number. So, we get

$10\% \cdot 140$

$\frac{10}{100} \cdot 140$

$\frac{10}{100} \cdot \frac{140}{1}$

Now, the zero in the 10 and the 100 can cancel. We get

$\frac{1}{10} \cdot \frac{140}{1}$

The zero in 10 and in 140 can cancel. We get

$\frac{1}{1} \cdot \frac{14}{1}$

Now, we can multiply.

$\frac{1 \cdot 14}{1 \cdot 1}$

$\frac{14}{1}$

Therefore, 10% of 140 is 14.

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Example Question #56 : Proportions And Percentages

Solve the proportion: $\frac{2x}{3} = \frac{x-6}{5}$

Possible Answers:

$\frac{4}{5}$

$-\frac{2}{13}$

$-\frac{6}{7}$

$-\frac{18}{7}$

$\frac{3}{2}$

Correct answer:

$-\frac{18}{7}$

Explanation:

Cross multiply to solve.

(2x)(5) = 3(x-6)

10x = 3x-18

Subtract from both sides.

10x -3x= 3x-18-3x

7x = -18

Divide by 7 on both sides.

$\frac{7x }{7}=\frac{ -18}{7}$

The answer is: $-\frac{18}{7}$

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Example Question #51 : Proportions And Percentages

Solve the proportion: $\frac{8}{x} = \frac{4}{7}$

Possible Answers:

$\frac{15}{7}$

$\frac{8}{7}$

$\frac{15}{4}$

Correct answer:

Explanation:

Cross-multiply both sides.

8(7) = 4x

Divide by four on both side.

$\frac{8(7) }{4}=\frac{ 4x}{4}$

2(7) =x

Simplify the left side.

x=14

The answer is:

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Example Question #58 : Proportions And Percentages

What is 20% of 45?

Possible Answers:

Correct answer:

Explanation:

To find a percentage of a number, we will multiply the two together. So, we get

$20\% \cdot 45$

$\frac{20}{100} \cdot 45$

We can simplify to make things easier. The zero in 20 and the zero in 100 can cancel. So, we get

$\frac{2}{10} \cdot 45$

$\frac{2}{10} \cdot \frac{45}{1}$

$\frac{2 \cdot 45}{10 \cdot 1}$

$\frac{90}{10}$

Therefore, 20% of 45 is 9.

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Example Question #59 : Proportions And Percentages

Solve: $\frac{2x+3}{4} = \frac{5x+2}{3}$

Possible Answers:

$\textup{The answer is not given.}$

$\frac{1}{14}$

$\frac{17}{14}$

$\frac{17}{26}$

$\frac{6}{7}$

Correct answer:

$\frac{1}{14}$

Explanation:

Cross multiply both sides.

3(2x+3) = 4(5x+2)

Distribute both sides.

6x+9 = 20x+8

Subtract on both sides.

6x+9 -6x= 20x+8-6x

9 = 14x+8

Subtract 8 on both sides.

9 -8= 14x+8-8

1=14x

Divide by 14 on both sides.

$\frac{1}{14}=\frac{14x}{14}$

The answer is: $\frac{1}{14}$

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Example Question #60 : Proportions And Percentages

What is 15% of 40?

Possible Answers:

Correct answer:

Explanation:

To find a percentage of a whole number, we will multiply the two together. So, we get

$15\% \cdot 40$

$\frac{15}{100} \cdot 40$

$\frac{15}{100} \cdot \frac{40}{1}$

Now, the zero in 100 can cancel the zero in 40. We get

$\frac{15}{10} \cdot \frac{4}{1}$

$\frac{15 \cdot 4}{10 \cdot 1}$

$\frac{60}{10}$

Therefore, 15% of 40 is 6.

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GED Math : Proportions and Percentages

Study concepts, example questions & explanations for GED Math

All GED Math Resources

Example Questions

Example Question #51 : Proportions And Percentages

Example Question #81 : Complex Operations

Example Question #53 : Proportions And Percentages

Example Question #54 : Proportions And Percentages

Example Question #55 : Proportions And Percentages

Example Question #56 : Proportions And Percentages

Example Question #51 : Proportions And Percentages

Example Question #58 : Proportions And Percentages

Example Question #59 : Proportions And Percentages

Example Question #60 : Proportions And Percentages

All GED Math Resources

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