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The contents of a bag of marbles consist of 9 green marbles [#permalink]

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16 Mar 2012, 04:24

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The contents of a bag of marbles consist of 9 green marbles and 16 blue marbles. How many blue marbles must be removed so that 60% of the marbles in the bag will be green?

(A) 1 (B) 6 (C) 7 (D) 9 (E) 10

Relatively easy question and I think I have a problem with the concept. Can someone please explain?

The contents of a bag of marbles consist of 9 green marbles and 16 blue marbles. How many blue marbles must be removed so that 60% of the marbles in the bag will be green?

(A) 1 (B) 6 (C) 7 (D) 9 (E) 10

Relatively easy question and I think I have a problem with the concept. Can someone please explain?

Say we remove x blue marbles, so there will be 9+16-x marbles in the bag. We want 9 green marbles to compose 60% of this number: 0.6(9+16-x)=9 --> x=10.

Re: The contents of a bag of marbles consist of 9 green marbles [#permalink]

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20 Sep 2013, 10:53

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Re: The contents of a bag of marbles consist of 9 green marbles [#permalink]

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21 Jan 2015, 07:35

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Re: The contents of a bag of marbles consist of 9 green marbles [#permalink]

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21 Jan 2015, 20:33

Expert's post

Hi All,

This question is rooted in basic arithmetic. Since the question asks how many marbles need to be removed and the answers ARE numbers, we can TEST THE ANSWERS until we find the one that "fits."

To start, we have a bag of marbles.... 9 green 16 blue 25 total

We're asked to remove blue marbles until the green marbles make up 60% of the bag....

Right now, green marbles make up 9/25 = 36% of the bag, so we clearly need to remove a bunch of blue marbles to change this percentage. Looking at the answers, I'd TEST one of the larger options first...

Let's TEST D....

IF 9 blue marbles were removed, then we'd have... 9 green 7 blue 16 total 9/16 is NOT 60% exactly, but it's pretty close....

Let's TEST E...

IF 10 blue marbles were removed, then we'd have... 9 green 6 blue 15 total 9/15 IS 60%, so this MUST be the answer!

Re: The contents of a bag of marbles consist of 9 green marbles [#permalink]

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21 Jan 2015, 20:33

Expert's post

Hi All,

This question is rooted in basic arithmetic. Since the question asks how many marbles need to be removed and the answers ARE numbers, we can TEST THE ANSWERS until we find the one that "fits."

To start, we have a bag of marbles.... 9 green 16 blue 25 total

We're asked to remove blue marbles until the green marbles make up 60% of the bag....

Right now, green marbles make up 9/25 = 36% of the bag, so we clearly need to remove a bunch of blue marbles to change this percentage. Looking at the answers, I'd TEST one of the larger options first...

Let's TEST D....

IF 9 blue marbles were removed, then we'd have... 9 green 7 blue 16 total 9/16 is NOT 60% exactly, but it's pretty close....

Let's TEST E...

IF 10 blue marbles were removed, then we'd have... 9 green 6 blue 15 total 9/15 IS 60%, so this MUST be the answer!

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