# Algebra 1 : Whole and Part

## Example Questions

### Example Question #21 : Whole And Part

What number of  is nine?

Explanation:

Let the number be .

Some number of ten percent means some number multiplied by ten percent.

A percentage is a number out of 100 parts.

Set up the equation.

Reduce the fraction and simplify the left side.

Multiply both sides by ten to eliminate the fraction.

Simplify both sides.

### Example Question #22 : Whole And Part

What number of twenty percent is 40?

Explanation:

Write an equation to express the percentage and the part to find the whole.

A percentage is a number out of 100 parts.  The  is the whole that we will need to find.

Reduce the fraction.

Multiply by five on both sides.

Simplify the left and right sides.

### Example Question #23 : Whole And Part

What number of twelve percent is four?

Explanation:

Set up an equation to represent this scenario.

Let the number be .

A percentage is some number out of 100 parts.

Multiply both sides by .

Simplify both sides.

### Example Question #24 : Whole And Part

What number of five percent is ten?

Explanation:

Set up the equation so that some number multiplied with five percent is equal to ten.

The percentage can be rewritten as a fraction.

Simplify the fraction.

Multiply by the denominator on both sides to eliminate the fraction.

Simplify both sides.

### Example Question #25 : Whole And Part

What number of forty percent is six?

Explanation:

Write an equation such that some number times 40 parts of 100 is equal to six.

Reduce the fraction.

To isolate the x-variable, multiply both sides by the reciprocal of the fraction.

Simplify both sides.

### Example Question #26 : Whole And Part

In a classroom survey, 18 kids reported having brown hair. The teacher calculated that the 18 with brown hair make up 60% of her class. How many total students are in the class?

Explanation:

Set up an equation representing the information you are given to start (18 out of an unknown total equals 60% or 60 out of 100).

Manipulate the equation to get X by itself.

There are 30 total students in the class.

### Example Question #27 : Whole And Part

Nine is fifty percent of what number?

Explanation:

Set up an equation such that a number times 50 out of 100 parts is nine.

Solve this equation.

Multply by two on both sides to eliminate the fraction.

Simplify both sides.

### Example Question #1 : How To Find The Part From The Whole With Percentage

What number is 25% of 80?

25

24

40

75

20

20

Explanation:

To solve this problem, we set up a proportion. We are looking for the number which is 25% of 80, thus we set up 25/100 = x/80. We set up this proportion so that the "wholes" are on the same side of the fraction. Then we simplify the left side (since 25/100 = 1/4) to make our arithmetic a bit easier. We now have 1/4 = x/80. Cross multiplying, we get 80 = 4x. Dividing both sides by 4, we get x = 20.

25% = 25/100

### Example Question #2 : How To Find The Part From The Whole With Percentage

14% of 50 is _____?

Explanation:

Divide numerator and denominator by 2 and you get , so 7 is 14% of 50.

### Example Question #3 : How To Find The Part From The Whole With Percentage

Julie made 500 handbags last year.  She gave 15 away and sold 185.  What percentage of the 500 handbags crafted does she still have in her inventory?