# GED Math : Proportions and Percentages

## Example Questions

### Example Question #51 : Proportions And Percentages

Solve the proportion:

Explanation:

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

Divide by 19 on both sides.

### Example Question #52 : Proportions And Percentages

What percent of 60 is 5?

Explanation:

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

Multiply both sides by .

### Example Question #53 : Proportions And Percentages

What is  of ?

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.

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:

Round this to

### Example Question #55 : Proportions And Percentages

What is 10% of 140 ?

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:

Explanation:

Cross multiply to solve.

Subtract  from both sides.

Divide by 7 on both sides.

### Example Question #57 : Proportions And Percentages

Solve the proportion:

Explanation:

Cross-multiply both sides.

Divide by four on both side.

Simplify the left side.

### Example Question #58 : Proportions And Percentages

What is 20% of 45?

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:

Explanation:

Cross multiply both sides.

Distribute both sides.

Subtract  on both sides.

Subtract 8 on both sides.

Divide by 14 on both sides.

### Example Question #60 : Proportions And Percentages

What is 15% of 40?

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.