SAT Math : Whole and Part

Study concepts, example questions & explanations for SAT Math

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Example Questions

Example Question #6 : How To Find The Whole From The Part With Percentage

On the ride home from school, Jim notices that  pecent of the cars he passes are yellow. Jim sees  yellow cars. How many cars does Jim see that aren't yellow?

Possible Answers:

Correct answer:

Explanation:

Let x represent the total number of cars Jim sees on the way home. If Jim sees 7 yellow cars and notices that 35% of all the cars he sees are yellow, then we can express this as

7/x = 35%, or

Using cross multiplication, we see that

Therefore, Jim sees 20 total cars on the way home. The question wants to know how many cars are NOT yellow. We can find that by subtracting the total number of cars from the number of yellow cars: 

 

Example Question #41 : Percentage

 is  of what number? 

Possible Answers:

None of the given answers are correct. 

Correct answer:

Explanation:

To solve this problem, we can set up a proportion and solve for our missing value using cross multiplication.

Example Question #211 : Arithmetic

 is  of what number? 

Possible Answers:

Correct answer:

Explanation:

Don't let the pi throw you off on this question. We can set up a proportion to solve for the whole that we are looking for. 

(Remember that any percentage can also be written as a fraction.) 

Now we can solve for our unknown by using cross multiplication. 

Therefore,  is  of 

Example Question #42 : Percentage

 is  of what number?

Possible Answers:

Correct answer:

Explanation:

We can set up a proportion to solve this problem. Remember that we can express percentages as fractions.

Now we can cross-multiply and solve for our unknown.

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