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GED Math : Proportions and Percentages

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Example Questions

Example Question #71 : Proportions And Percentages

What is $136\%$ of ?

Possible Answers:

26.66

27.08

19.36

21.76

Correct answer:

21.76

Explanation:

Start by converting $136\%$ to a decimal. To do this, move the decimal point to the left to spaces.

$136\%=1.36$

Now multiply by .

$1.36\times 16=21.76$

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Example Question #72 : Proportions And Percentages

Solve the proportion: $\frac{5}{2x} = \frac{8}{9}$

Possible Answers:

$\frac{45}{16}$

$\textup{No solution.}$

$\frac{7}{6}$

$\frac{6}{7}$

$\frac{9}{2}$

Correct answer:

$\frac{45}{16}$

Explanation:

Cross multiply the two fractions.

5(9) = 8(2x)

45 = 16x

Divide by 16 on both sides.

$\frac{45}{16} = \frac{16x}{16}$

The answer is: $\frac{45}{16}$

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Example Question #71 : Proportions And Percentages

Solve the proportion: $\frac{7}{2x} = \frac{8}{3}$

Possible Answers:

$\frac{8}{5}$

$\frac{5}{8}$

$\frac{21}{16}$

$\frac{28}{3}$

$\frac{21}{10}$

Correct answer:

$\frac{21}{16}$

Explanation:

Cross multiply the two terms.

7(3) = 8(2x)

Simplify the terms.

21 = 16x

Divide by 16 on both sides.

$\frac{21}{16} = \frac{16x}{16}$

The answer is: $\frac{21}{16}$

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Example Question #432 : Numbers And Operations

Solve the proportion: $\frac{7}{x} = \frac{4}{9}$

Possible Answers:

$\frac{28}{9}$

$\frac{63}{4}$

Correct answer:

$\frac{63}{4}$

Explanation:

Cross multiply both fractions.

7(9) = 4x

Divide by four on both sides.

$\frac{7(9)}{4} = \frac{4x}{4}$

The answer is: $\frac{63}{4}$

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Example Question #433 : Numbers And Operations

Solve the proportion: $\frac{8}{3x+1} = \frac{5}{x}$

Possible Answers:

$-\frac{5}{7}$

$-\frac{10}{7}$

$-\frac{1}{7}$

$-\frac{10}{23}$

$-\frac{1}{5}$

Correct answer:

$-\frac{5}{7}$

Explanation:

Cross multiply the two fractions.

8x = 5(3x+1)

Simplify the right side.

8x =15x+5

Subtract 15x on both sides.

8x-15x =15x+5-15x

-7x = 5

Divide by negative seven on both sides.

$\frac{-7x }{-7}= \frac{5}{-7}$

The answer is: $-\frac{5}{7}$

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Example Question #434 : Numbers And Operations

To make a certain shade of green, the blue paint and the yellow paint must be mixed in a ratio of 3:5 . If a painter uses gallons of yellow paint, how many gallons of blue paint must be used to create this shade of green?

Possible Answers:

8.8

13.4

10.2

12.6

Correct answer:

10.2

Explanation:

Let be the gallons of blue paint needed. We can setup the following equation using the given ratio.

$\frac{3}{5}=\frac{x}{17}$

Cross-multiply and solve for .

5x=51

x=10.2

The painter must use 10.2 gallons of blue paint.

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Example Question #72 : Proportions And Percentages

At a zoo, the ratio of birds to mammals to reptiles is 2 to 5 to 6. If there are a total of 195 birds, mammals, and reptiles, how many reptiles does the zoo have?

Possible Answers:

The number of reptiles cannot be determined from the information given.

Correct answer:

Explanation:

To maintain the correct ratio of birds to mammals to reptiles, let be the number of birds, be the number of mammals, and be the number of reptiles.

We can then write the following equation:

2x+5x+6x=195

Solve for .

13x=195

x=15

Since the question asks for the number of reptiles, we will need to find the value of .

6x=6(15)=90

The zoo has reptiles.

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Example Question #73 : Proportions And Percentages

If workers can paint 100 square feet of wall in hours, how many hours would it take painters to paint 200 square feet of wall if they work at the same pace?

Possible Answers:

2.5

1.5

1.25

Correct answer:

Explanation:

If workers can paint 100 square feet of wall in hours, that means each painter must paint square feet of wall in hours. Thus, each painter must paint $\frac{50}{3}$ square feet of wall in each hour.

Now, if each painter can paint $\frac{50}{3}$ square feet in one hour, then painters can paint 100 square feet of wall in one hour. As the six painters can paint 100 square feet in one hour, then it will only take them hours to paint 200 square feet.

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Example Question #74 : Proportions And Percentages

Sarah earns $\$780$ per week and a $7\%$ commission on all her sales. If Sarah sells $\$6325.11$ worth of products in one week, what is her total paycheck for the week?

Possible Answers:

$\$934.09$

$\$1222.76$

$\$851.22$

$\$6379.11$

Correct answer:

$\$1222.76$

Explanation:

Start by finding the commission that Sarah earned.

Convert the percentage into a decimal:

$7\%=0.07$

Next, multiply this by the amount of products that Sarah was able to sell to find her commission.

6325.11(0.07)=442.76

Make sure that you rounded to the nearest cent.

Now, add the commission to the base pay to find her total paycheck.

780+442.76=1222.76

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Example Question #111 : Complex Operations

Emily is paid a weekly salary of $\$550$ . She is also given a $8\%$ commission on all the goods she sells during the week. If she earned $\$649.84$ in one week, what was the value of the goods she sold?

Possible Answers:

$\$1248$

$\$988$

$\$946$

$\$1122$

Correct answer:

$\$1248$

Explanation:

In order to find what the value of the goods she sold was, we need to first figure out the amount she earned from her commission. Do this by subtracting out the weekly base pay from her total pay.

$\text{Pay from Commission}=649.84-550=99.84$

Now, we know that 99.84 must be the amount from the commission. Since Emily earns $8\%$ of her total sales as commission, this amount must also represent $8\%$ of the value of the goods she sold.

We can then set up the following equation. Let be the value of goods Emily sold.

0.08x=99.84

x=1248

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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 #71 : Proportions And Percentages

Example Question #72 : Proportions And Percentages

Example Question #71 : Proportions And Percentages

Example Question #432 : Numbers And Operations

Example Question #433 : Numbers And Operations

Example Question #434 : Numbers And Operations

Example Question #72 : Proportions And Percentages

Example Question #73 : Proportions And Percentages

Example Question #74 : Proportions And Percentages

Example Question #111 : Complex Operations

All GED Math Resources

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