# SSAT Elementary Level Math : How to find a proportion

## Example Questions

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### Example Question #11 : How To Find A Proportion

Solve for the variable:

Explanation:
Cross multiply:

Solve for  by dividing 135 by 9:

### Example Question #12 : How To Find A Proportion

Solve for the variable:

Explanation:

There are two ways to solve. First, you may see that the top numbers are related by multiplying by 2.

This means that the bottom numbers must also be related by multiplying by 2.

The missing number is therefore 8.

The other way to solve is to cross multiply:

Solve for  by dividing 24 by 3:

### Example Question #13 : How To Find A Proportion

Find the unknown value:

Explanation:

To solve the proportion, cross multiply and find the value of the missing variable.

Divide by  on both sides.

### Example Question #14 : How To Find A Proportion

Solve:

Explanation:

Solve by cross multipling the two fractions.

Divide by  on both sides.

### Example Question #22 : Ssat Elementary Level Quantitative (Math)

What is  of ?

Explanation:

of  is calculated by multiplying . by .

### Example Question #16 : How To Find A Proportion

What is  of ?

Explanation:

of  is calculated by multiplying  by .

### Example Question #17 : How To Find A Proportion

Megan's teacher says that if Megan wants to join the girl's basketball team, she has to have at least  of this quarter's homework turned in. If there have been  assignments so far this quarter, how many of these does Megan have to have turned in so that she can join the team?

Explanation:

In order to solve this problem, we need to make a ratio. Megan's teacher says she needs to have turned in 90% of her homework. First we need to change 90% into a fraction:

Using this information, we need to fill in the following ratio to find out how many assignments Megan needs to have turned in to be at 90% completion:

To solve this ratio, we need to cross multiply.

Now we have an equation to solve.

If we divide both sides by 100, we are left with our final answer.

Megan must have at least 45 assignments turned in if she wants to join the basketball team.

### Example Question #18 : How To Find A Proportion

If I have 6 red marbles and 5 blue marbles, what proportion of the marbles are red.

Explanation:

To find a proportion, simply divide what you desire by the total.

In this problem the desired is the number of red marbles and the total is all of the marbels.

Thus,

### Example Question #19 : How To Find A Proportion

I have 7 green marbles and 4 blue marbles. Find the proportion of green marbles.

Explanation:

To find a proportion, simply divide the desired amount by the total amount. We know our total by simply adding the marble amounts that compose it. Thus,

### Example Question #20 : How To Find A Proportion

Solve the following proportion:

Explanation:

When solving a proportion, it is easiest to re-write it using fraction. So,

can be re-written as

Now, to solve this, we will cross multiply and divide.

To cross multiply, we will take the numerator of the first fraction and multiply it by the denominator of the second fraction. Then, we multiply the denominator of the first fraction by the numerator in the second, and set them equal to each other.

It might be easier to see an example.

Now, we divide to solve for x.

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