SSAT Upper Level Math : Proportion / Ratio / Rate
Study concepts, example questions & explanations for SSAT Upper Level Math
All SSAT Upper Level Math Resources
Example Questions
Example Question #1 : Proportion / Ratio / Rate
A barn has 
First, add up the total number of ducks, geese, and chickens.
Now, write the fraction of these animals that are geese and the fraction of these animals that are chickens.
Now, since we want the ratio of geese to chickens, we write the fractions as thus:
Divide and simplify the resulting fraction to find the ratio.
Example Question #1 : Proportion / Ratio / Rate
If 
There is more than one way to solve this problem. You can either figure out how much the chicken costs per pound and multiply that cost by three pounds, or you can set up a proportion and solve for the cost of three pounds of chicken that way.
1) Solving the Problem Using Cost per Pound
First, find how much the chicken costs per pound.
Since chicken costs 
2) Solving the Problem Using a Proportion
You can set up a proportion to figure out how much 
Cross multiply:
Solve for 
Example Question #1 : Proportion / Ratio / Rate
In a class of 
Let 
Now, since we have 
Since we want to find the number of juniors, we need to find the value of 
Example Question #2 : Proportion / Ratio / Rate
In a zoo with 
Let 
Since the zoo has 
Because we want the number of birds, we need to find the value of 
Example Question #3 : Rational Numbers
In a high school of 
Let 
Because the high school has 
Since we want to find out how many juniors there are, we need the value of 
Example Question #4 : Rational Numbers
In a high school, the ratio of freshmen to seniors is 
Set up the following proportion, with 
Now, cross-multiply and solve for 
Example Question #5 : Rational Numbers
On a beach, the ratio of crabs to seagulls is 
Let 
Since there are 
Because the question asks for the number of crabs, we need to find the value of 
Example Question #1 : How To Find A Ratio
There are 
Write the numbers of boys and girls as a fraction, then simplify.
Example Question #7 : Rational Numbers
At a high school, there are 
Write the number of seniors and numbers of freshmen as a fraction:
That fraction is equivalent to 
Example Question #8 : Rational Numbers
The angles in a triangle are in the ratio 
Let 
Since all the angles in a triangle need to add up to 
Because we want the value of the largest angle, we need to find the value of 
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