GED Math : Proportions and Percentages

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #61 : Proportions And Percentages

Solve the proportion:  

Possible Answers:

Correct answer:

Explanation:

Cross multiply the fractions.

Divide by two on both sides.

Square root both sides.

Verify that both the positive and negative roots will satisfy the solution.

The answer is:  

Example Question #62 : Proportions And Percentages

What is 25% of 240?

Possible Answers:

Correct answer:

Explanation:

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

 

 

 

Now, the zero in 100 and the zero in 240 can cancel. We get

 

 

 

 

 

 

Therefore, 25% of 240 is 60.

Example Question #63 : Proportions And Percentages

Solve the proportion:   

Possible Answers:

Correct answer:

Explanation:

Cross multiply the two fractions.

Distribute the terms on the left.

Subtract  from both sides.

Divide by negative seven on both sides.

The answer is:  

Example Question #64 : Proportions And Percentages

Solve the proportion:  

Possible Answers:

Correct answer:

Explanation:

Cross multiply the two fractions.

Expand both sides.

Subtract  on both sides.

Divide by seven on both sides.

The answer is:  

Example Question #65 : Proportions And Percentages

Solve the proportion:  

Possible Answers:

Correct answer:

Explanation:

Cross multiply the fractions.

Subtract  from both sides.

Add 18 on both sides.

The answer is:  

Example Question #66 : Proportions And Percentages

Solve the proportion:  

Possible Answers:

Correct answer:

Explanation:

Cross multiply the two fractions.

 

Expand both sides.

Add 18 on both sides.

Divide by 6 on both sides.

Reduce both fractions.

The answer is:  

Example Question #67 : Proportions And Percentages

On a map, the scale indicates that . If the distance between two cities is  on the map, how many miles apart are the two cities?

Possible Answers:

Correct answer:

Explanation:

From the given information, we can set up the following ratio:

, where  is the distance between the two cities.

Now, cross-multiply to solve for .

The two cities are  miles apart.

Example Question #68 : Proportions And Percentages

Solve the proportion:   

Possible Answers:

Correct answer:

Explanation:

Cross multiply both fractions.

Distribute the left side.

Subtract 21 from both sides.

Divide by 14 on both sides.

The answer is:  

Example Question #69 : Proportions And Percentages

What is 18% of $50 ?

Possible Answers:

Correct answer:

Explanation:

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

 

 

 

The zero in 100 and the zero in 50 can cancel. We get

 

 

 

 

 

 

Therefore, 18% of $50 is $9.

Example Question #70 : Proportions And Percentages

Solve:  

Possible Answers:

Correct answer:

Explanation:

Cross multiply the two fractions.

Divide by 8 on both sides.

Reduce the fractions.

The answer is:  

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