ISEE Lower Level Quantitative : Whole and Part

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

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

One fourth of the bananas that Beth bought are not ripe. The rest are ripe. She has 9 ripe bananas. How many bananas are there in total?

Possible Answers:

\(\displaystyle 11\)

\(\displaystyle 18\)

\(\displaystyle 14\)

\(\displaystyle 12\)

Correct answer:

\(\displaystyle 12\)

Explanation:

If one fourth of the bananas that Beth bought are not ripe, then three fourths are ripe. Therefore, the total number of bananas can be represented by \(\displaystyle x\) in the equation below:

\(\displaystyle \frac{3}{4}=\frac{9}{x}\)

First, we cross multiply:

\(\displaystyle 3x=36\)

Next, we divide by 3:

\(\displaystyle x=12\)

Therefore, there are a total of 12 bananas. 

Example Question #22 : Whole And Part

Amanda and Adriana each ran four laps around the track in twelve minutes. At the same rate of speed, how long would they need to run twenty-eight laps?

Possible Answers:

\(\displaystyle 120\ {minutes}\)

\(\displaystyle 36\ {minutes}\)

\(\displaystyle 28\ {minutes}\)

\(\displaystyle 84\ {minutes}\)

Correct answer:

\(\displaystyle 84\ {minutes}\)

Explanation:

To solve this problem, one must first determine how long it takes to run one lap. Since it takes twelve minutes to run four laps, divide twelve by four.

\(\displaystyle 12\div4=3\)

It takes three minutes to run one lap. 

To determine how long it will take to run twenty-eight laps, multiply the original rate of speed by the new distance.

\(\displaystyle 3\times28=84\)

It will take eighty-four minutes to run twenty-eight laps if each lap is run in three minutes.

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