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Justin, Max, and Paul each have a collection of marbles. Justin has \(50\%\) fewer marbles than Max has. Max has

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Justin, Max, and Paul each have a collection of marbles. Justin has \(50\%\) fewer marbles than Max has. Max has

by Vincen » Tue Oct 06, 2020 7:13 am

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Justin, Max, and Paul each have a collection of marbles. Justin has \(50\%\) fewer marbles than Max has. Max has \(30\%\) more marbles than Paul has. If Paul’s collection contains \(80\) marbles, how many marbles does Justin’s collection contain?

A. 32
B. 48
C. 52
D. 56
E. 64

Answer: C

Source: Princeton Review
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Re: Justin, Max, and Paul each have a collection of marbles. Justin has \(50\%\) fewer marbles than Max has. Max has

by Scott@TargetTestPrep » Sat Oct 10, 2020 2:28 pm
Vincen wrote: ↑
Tue Oct 06, 2020 7:13 am
 Justin, Max, and Paul each have a collection of marbles. Justin has \(50\%\) fewer marbles than Max has. Max has \(30\%\) more marbles than Paul has. If Paul’s collection contains \(80\) marbles, how many marbles does Justin’s collection contain?

A. 32
B. 48
C. 52
D. 56
E. 64

Answer: C

Solution:

We can let j = the number of marbles Justin has, m = the number of marbles Max has, and p = the number of marbles Paul has. Thus, we can create the following equations:

j = 0.5m

m = 1.3p

and

p = 80

So m = 1.3(80) = 104 and j = 0.5(104) = 52. Justin has 52 marbles.

Answer: C

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