Proportion / Ratio / Rate - SSAT Upper Level Quantitative

Set up a proportion statement:

Rewrite:

A pie is made up of crust, apples, sugar, and the rest is jelly. What is the ratio of crust to jelly?

To compute this ratio, you must first ascertain how much of the pie is jelly. This is:

Begin by using the common denominator :

So, the ratio of crust to jelly is:

This can be written as the fraction:

, or

This problem is really an easy fraction division. You should first divide the lemon juice amount by the water amount:

Remember, to divide fractions, you multiply by the reciprocal:

This is the same as saying:

To find a ratio like this, you simply need to make the fraction that represents the division of the two values by each other. Therefore, we have:

Recall that division of fractions requires you to multiply by the reciprocal:

,

which is the same as:

This is the same as the ratio:

First, find out how much of the smoothie is orange juice.

Since we want the ratio of orange juice to pineapple juice, we want to set up the fractions like this:

Now, divide these fractions.

First, find the fraction of sugar cookies that are sold.

Since we want the ratio of sugar cookies to oatmeal raisin cookies:

Now, multiply and simplify the resulting fraction.

Set up the following proportion:

,

where is the number of miles the cities are apart.

Now, solve for .

The two cities are miles apart.

First, find out how long it takes the factory to produce tent.

Since it takes the factory minutes to make tent, multiply this number by to find how long it takes to make tents.

It will take the factory minutes to make tents.

First, find how many cans of soda Billy can drink in 1 day.

Since, he can drink cans in day, then the following equation will tell us how many cans he drinks in days.

First, find the cost per marker.

Now, multiply this cost per marker by , the number of markers we want.

Set up the following proportion:

,

where is the number of hours it'll take to empty gallons.

Now solve for .

First, find the area of the driveway.

Since it takes pounds of cement per square feet,

pounds will be needed to complete the driveway.

First, figure out how long it takes Julie to read 1 page.

It takes Julie minutes to read one page. Now, multiply this by the number of pages she needs to read to find out how long it will take her.

It will take Julie minutes to read pages.

Divide the time it take Dennis to paint walls by the number of walls he painted to find how long it will take him to paint one wall.

It will take Dennis minutes to paint one wall.

First, find out how much money it costs to play for one minute.

Now, multiply this amount by the number of minutes in an hour to find how much it will cost for the player to play for one hour.

It will cost her to play for one hour.

First, find out how long it will take her to finish math problem.

Since it takes Joanna minutes to finish one problem, multiply this number by the amount of questions she needs to do.

It will take her minutes to finish questions.

First, convert the minutes to hours.

Since minutes is hours, multiply this by the doctor's hourly rate to find how much it will cost to hire this doctor for minutes.

Use the dentist's rate to find how much the first three hours of the appointment will cost.

Next, use the dentist's second rate to find out how much the last five hours of the appointment will cost.

Now, add these values together to get the cost of the entire appointment.

Set up a proportion statement:

Rewrite:

A pie is made up of crust, apples, sugar, and the rest is jelly. What is the ratio of crust to jelly?

To compute this ratio, you must first ascertain how much of the pie is jelly. This is:

Begin by using the common denominator :

So, the ratio of crust to jelly is:

This can be written as the fraction:

, or