# SSAT Middle Level Math : How to find a proportion

## Example Questions

### Example Question #182 : Ratio And Proportion

Explanation:

A property of proportions states that if two ratios are equivalent, then the ratio of numerators and the ratio of denominators are as well. Therefore, since

,

it follows that

### Example Question #183 : Ratio And Proportion

Explanation:

A property of proportions states that if two ratios are equivalent, so are their reciprocals. Therefore, since

,

it follows that

.

### Example Question #9 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Hannah has a  bag of peanuts that she is going to divide evenly between her four friends. How many ounces of peanuts does she give to each friend?

Explanation:

The first thing we need to do is put our pounds into ounces because our final answer is asking for ounces. We know that . We can set up a proportion and cross multiply to solve.

Then we can divide to isolate the .

Now we need to divide our  by  because we are splitting the peanuts up equally between  people.

### Example Question #10 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

Molly has a  bag of peanuts that she is going to divide evenly between her three friends. How many ounces of peanuts does she give to each friend?

Explanation:

The first thing we need to do is put our pounds into ounces because our final answer is asking for ounces. We know that . We can set up a proportion and cross multiply to solve.

Then we can divide to isolate the .

Now we need to divide our  by  because we are splitting the peanuts up equally between  people.

### Example Question #32 : Measurement & Data

How many  are in

Explanation:

To solve this problem we can make proportions.

We know that , and we can use  as our unknown.

Next, we want to cross multiply and divide to isolate the  on one side.

The  will cancel and we are left with

### Example Question #37 : Measurement & Data

How many  are in

Explanation:

To solve this problem we can make proportions.

We know that  and we can use  as our unknown.

Next, we want to cross multiply and divide to isolate the  on one side.

The  will cancel and we are left with

### Example Question #184 : Ratio And Proportion

Explanation:

By a proportion property, if , it follows that .

Setting

if , then .

### Example Question #81 : Solve Problems Involving Measurement And Conversion Of Measurements

Melissa ran sprints for , and Megan ran sprints for . How many more minutes did Megan run than Jessica?

Explanation:

The first thing we need to do is put our seconds into minutes because our final answer is asking for minutes. We know that . We can set up a proportion and cross multiply to solve.

Then we can divide to isolate the .

Now we need to subtract to find our difference.

### Example Question #82 : Solve Problems Involving Measurement And Conversion Of Measurements

Megan studied for  everyday from Monday-Friday. How many total hours did she spend studying?

Explanation:

The first thing we need to do is put our minutes into hours because our final answer is asking for hours. We know that . We can set up a proportion and cross multiply to solve.

Then we can divide to isolate the .

Now we need to multiply  because Megan studied for  hours each day.

### Example Question #33 : Measurement & Data

How many  are in