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Bucket A is 1/4 full of sand, and Bucket B, which has

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Bucket A is 1/4 full of sand, and Bucket B, which has  [#permalink]

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New post 27 May 2012, 09:53
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Bucket A is 1/4 full of sand, and Bucket B, which has one-half the capacity of Bucket A, is 3/8 full of sand. Jana pours the contents of Bucket B into Bucket A. Bucket A is now filled to what fraction of its capacity?

A. 3/8
B. 7/16
C. 1/2
D. 5/8
E. 7/8
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Re: Bucket A is 1/4 full of sand, and Bucket B, which has one-ha  [#permalink]

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New post 27 May 2012, 23:33
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let capapcity of a = x

sand = x/4

capacity of b = x/2

sand = 3x/16

A total = x/4 + 3x/16 = 7x/16

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Re: Bucket A is 1/4 full of sand, and Bucket B, which has  [#permalink]

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New post 28 May 2012, 02:15
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macjas wrote:
Bucket A is 1/4 full of sand, and Bucket B, which has one-half the capacity of Bucket A, is 3/8 full of sand. Jana pours the contents of Bucket B into Bucket A. Bucket A is now filled to what fraction of its capacity?

A. 3/8
B. 7/16
C. 1/2
D. 5/8
E. 7/8


Say the capacity of bucket B is 8 units then the capacity of bucket A would be 16 units.

Since bucket B is 3/8 full then there are 3/8*8=3 units of sand in it and since bucket A is 1/4 full then there are 1/4*16=4 units of sand in it.

So if we pour the contents of Bucket B into Bucket A then A will be (3+4)=16=7/16 full of sand.

Answer: B.
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Re: Bucket A is 1/4 full of sand, and Bucket B, which has  [#permalink]

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New post 31 May 2012, 03:17
Bucket.............Capacity...........Amount_Fill
A:...................x.....................x/4
B:...................x/2...................x/2 * 3/8 = 3x/16


Sand of B added to A => A: x/4 + 3x/16 = 7x/16

A = (7/16) x


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Re: Bucket A is 1/4 full of sand, and Bucket B, which has  [#permalink]

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Re: Bucket A is 1/4 full of sand, and Bucket B, which has   [#permalink] 03 Jul 2015, 07:44
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