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# Justin, Max, and Paul each have a collection of marbles. Justin has 50

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Senior RC Moderator
Joined: 02 Nov 2016
Posts: 4128
GPA: 3.39
Justin, Max, and Paul each have a collection of marbles. Justin has 50  [#permalink]

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21 Mar 2017, 00:02
00:00

Difficulty:

5% (low)

Question Stats:

92% (01:17) correct 8% (02:52) wrong based on 44 sessions

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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

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Re: Justin, Max, and Paul each have a collection of marbles. Justin has 50  [#permalink]

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21 Mar 2017, 00:15
1
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

Max has 30% more marbles than Paul has ==> 1.3 * 80 = 104
Justin has 50% fewer marbles than Max has ==> 0.5 * 104 = 52

Hence option C is correct
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Justin, Max, and Paul each have a collection of marbles. Justin has 50  [#permalink]

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21 Mar 2017, 02:14
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

paul has 80 marbles
max has 1.3*80 marbles = 104
justin has 0.5*104 = 52 marbles

option C
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Re: Justin, Max, and Paul each have a collection of marbles. Justin has 50  [#permalink]

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04 Sep 2018, 04:24
1
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

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.

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Re: Justin, Max, and Paul each have a collection of marbles. Justin has 50   [#permalink] 04 Sep 2018, 04:24
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