SAT Math : Proportion / Ratio / Rate
Study concepts, example questions & explanations for SAT Math
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Example Questions
Example Question #12 : How To Find Proportion
A recipe calls for a ratio of 
We can set up a ratio of 
Example Question #71 : Proportion / Ratio / Rate
To ship a package, the postal service charges 
The weight will be 150 grams + (1.15 – 0.55)/0.05 * 50g.
You need to subtract first 150 grams cost from the total cost and divide by the price per unit to determine how many units. Next, multiply units by weight per unit and add to the original first 150 grams.
150 + 600 = 750 grams
This is the maximum weight that can be sent at that price; the minimum weight that could be charged this price would be 701 grams. Hence a package weighing 750 grams will be charged $1.15.
Example Question #561 : Arithmetic
Six is to thirteen-and-a-half as seventeen is to what?
None of the other answers are correct.
Let us express this as an algebraic expression:
We can cross multiply:
Example Question #81 : Proportion / Ratio / Rate
Solve the proportion:
Cross multiply the proportion and simplify.
Example Question #563 : Arithmetic
Toilet 
First you must figure out the proportion 
Example Question #83 : Proportion / Ratio / Rate
In a ceratain class, 
In order the split the boys equally in half to have them be freshmen, a third of the class must be an even number. The only choice that when cut in thirds can then be split in half is 
Example Question #564 : Arithmetic
Out of 85 students in a certain class, 42 own a laptop and 54 own an mp3 player. If 5 students don't own either, what fraction of the students own both a laptop and an mp3 player?
19/80
1/8
16/85
7/40
1/10
16/85
Once you subtract the 5 students that don't own either, there are 80 students left.
There's 96 total students when you add the number that own an mp3 and the number that own a laptop, meaning 16 own both.
Recall that the fraction will be number of students who have both laptop and mp3 divided by the total students in the class.
Example Question #82 : Proportion / Ratio / Rate
For every 5 glasses of lemonade, Bud earns $2. How many glasses must he sell to earn $24?
We can set up a simple proportion to solve this. For every 5 glasses, Bud gets $2. For every x glasses, he earns $24.
Example Question #89 : Proportion / Ratio / Rate
Mindi can take down seven museum displays every half hour. How many displays can she take down completely in an hour and fifteen minutes?
Let's set up a proportion to solve this problem, like so:
We can cross-multiply and solve for the unknown. We can ignore our units for now as the answer's units will result in displays as the unit.
This means that Mindi can take down 
Example Question #90 : Proportion / Ratio / Rate
A rabbit runs at a speed of 
Let's set up a proportion to help solve this problem. We can say:
Now, we can cross-multiply and solve for the unknown. Don't worry about units for now. They will cancel out and leave us with hours as the units for our answer.
Therefore, our answer is 
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