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A bowl of marbles contains 28 red marbles, 45 green marbles, and 52

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V
Joined: 02 Sep 2009
Posts: 52344
A bowl of marbles contains 28 red marbles, 45 green marbles, and 52  [#permalink]

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New post 10 Jan 2018, 22:26
1
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

77% (01:56) correct 23% (02:47) wrong based on 16 sessions

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A bowl of marbles contains 28 red marbles, 45 green marbles, and 52 blue marbles. How many green marbles must be added so that green marbles account for 60 percent of all the marbles in the bowl?

A. 60
B. 75
C. 80
D. 100
E. 120

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Re: A bowl of marbles contains 28 red marbles, 45 green marbles, and 52  [#permalink]

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New post 10 Jan 2018, 23:23
1
R=28
G=45
B=52

Let x Green be added


45+x/125+x = 60%

x = 75
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Re: A bowl of marbles contains 28 red marbles, 45 green marbles, and 52  [#permalink]

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New post 11 Jan 2018, 20:17
28 + 45 + 52 = 125 total marbles
There are originally 45 green marbles.
X = extra green marbles that are added to the bowl

(45 + X) / (125 + X) = 0.6 This is because with the extra green marbles, the total number of green marbles in the bowl increases, and the total number of marbles of all colors in the bowl also increases.
45 + X = 75 + 0.6*X
0.4*X = 30
X = 75 extra green marbles (Answer B)
GMAT Club Bot
Re: A bowl of marbles contains 28 red marbles, 45 green marbles, and 52 &nbs [#permalink] 11 Jan 2018, 20:17
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A bowl of marbles contains 28 red marbles, 45 green marbles, and 52

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