# SSAT Middle Level Math : How to find a proportion

## Example Questions

### Example Question #5 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

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 #6 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

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 #1 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

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 #141 : Ratio And Proportion

Find the value of the variable y in the proportion below

Explanation:

The first step is to change the colon form 8:4 = 10:y to fractional form.

The next step is to cross multiply,

After cross multiplying, we need to isolate the y variable. This can be done by dividing both sides by 8 shown below,

### Example Question #6 : How To Find A Proportion

Phil earns   for each hour he works. For every hour he works, he then gives  to his sister Lola. How much money will Lola have if Phil works  hours?

Explanation:

To Solve:

Multiply the  Lola receives by the  hours Phil worked:

Phil will give Lola  if he works  hours.

### Example Question #22 : How To Find A Proportion

If the ratio of boys to girls in a classroom is , and there are a total of of  students in the classroom, how many boys are in the classroom?

Explanation:

If the ratio of boys to girls in a classroom is , that means that there are  boys for every  girls. Thus, when there are  students in a classroom, the breakdown will be  boys and  girls. If there are  students in a classroom, the breakdown will be  boys and  girls, which translates to a ratio of , or

Thus, if there are  students,  will be boys.

### Example Question #1 : Use The Four Operations To Solve Word Problems Involving Various Measures: Ccss.Math.Content.4.Md.A.2

On Saturday Jake raked leaves for  minutes and on Sunday he raked leaves for  hours. In hours, how much total time did he spend raking on both Saturday and Sunday?

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 can add our hours together to find the total.

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

Matt studied for  minutes everyday from Monday-Friday. How many total hours did he 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 Matt studied for  hours each day.

### Example Question #1501 : Common Core Math: Grade 5

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 #9 : Convert Among Different Sized Standard Measurement Units: Ccss.Math.Content.5.Md.A.1

How many  are in