GED Math : Proportions and Percentages

Study concepts, example questions & explanations for GED Math

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Example Questions

Example Question #51 : Proportions And Percentages

Solve the proportion:  

Possible Answers:

Correct answer:

Explanation:

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

Divide by 19 on both sides.

The answer is:  

Example Question #52 : Proportions And Percentages

What percent of 60 is 5?

Possible Answers:

Correct answer:

Explanation:

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

Multiply both sides by .

The answer is:  

Example Question #53 : Proportions And Percentages

What is  of ?

Possible Answers:

Correct answer:

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  of .  Remember that  is .  Therefore, your answer is merely:

Example Question #54 : Proportions And Percentages

What is  of  of  of ?  Round to the nearest hundredth.

Possible Answers:

Correct answer:

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:

Therefore, your answer is merely:

Round this to 

Example Question #55 : Proportions And Percentages

What is 10% of 140 ? 

Possible Answers:

Correct answer:

Explanation:

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

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

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

Now, we can multiply.

Therefore, 10% of 140 is 14.

Example Question #56 : Proportions And Percentages

Solve the proportion:  

Possible Answers:

Correct answer:

Explanation:

Cross multiply to solve.

Subtract  from both sides.

Divide by 7 on both sides.

The answer is:  

Example Question #57 : Proportions And Percentages

Solve the proportion:  

Possible Answers:

Correct answer:

Explanation:

Cross-multiply both sides.

Divide by four on both side.

Simplify the left side.

The answer is:  

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

 

 

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

 

 

 

 

 

Therefore, 20% of 45 is 9.

Example Question #59 : Proportions And Percentages

Solve:  

Possible Answers:

Correct answer:

Explanation:

Cross multiply both sides.

Distribute both sides.

Subtract  on both sides.

Subtract 8 on both sides.

Divide by 14 on both sides.

The answer is:  

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

 

 

 

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

 

 

 

 

 

Therefore, 15% of 40 is 6.

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