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

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Math Expert
Joined: 02 Sep 2009
Posts: 58427
A bowl of marbles contains 28 red marbles, 45 green marbles, and 52  [#permalink]

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10 Jan 2018, 23:26
1
00:00

Difficulty:

35% (medium)

Question Stats:

72% (01:53) correct 28% (02:20) wrong based on 21 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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Intern
Joined: 01 Jun 2015
Posts: 41
Location: India
Re: A bowl of marbles contains 28 red marbles, 45 green marbles, and 52  [#permalink]

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11 Jan 2018, 00:23
1
R=28
G=45
B=52

45+x/125+x = 60%

x = 75
Intern
Joined: 28 Dec 2017
Posts: 30
Re: A bowl of marbles contains 28 red marbles, 45 green marbles, and 52  [#permalink]

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11 Jan 2018, 21:17
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)
Re: A bowl of marbles contains 28 red marbles, 45 green marbles, and 52   [#permalink] 11 Jan 2018, 21:17
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