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If cement, gravel and sand are to be mixed in 7:10:13

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antoxavier
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If cement, gravel and sand are to be mixed in 7:10:13 [#permalink] New post   21 Feb 2013, 08:10
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If cement, gravel and sand are to be mixed in 7:10:13 and 8 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.

A. 35 7/8
B. 36
C. 34 2/7
D. 34 5/7
E. 34 6/7
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C
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Re: If cement, gravel and sand are to be mixed in 7:10:13 [#permalink] New post   21 Feb 2013, 08:16
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antoxavier wrote:
If cement, gravel and sand are to be mixed in 7:10:13 and 8 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.

A. 35 7/8
B. 36
C. 34 2/7
D. 34 5/7
E. 34 6/7


Cement:Gravel:Sand = 7:10:13 --> total of 7+10+13 = 30 parts.

If we use 8 tons of cement, then we'll get 8/7*30 = 34 2/7 tons of mixture.

Answer: C.
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gracie
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If cement, gravel and sand are to be mixed in 7:10:13 [#permalink] New post   30 May 2018, 20:04
antoxavier wrote:
If cement, gravel and sand are to be mixed in 7:10:13 and 8 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.

A. 35 7/8
B. 36
C. 34 2/7
D. 34 5/7
E. 34 6/7


let x=tons of mixture
8/7=x/30
x=34 2/7
C
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Re: If cement, gravel and sand are to be mixed in 7:10:13 [#permalink] New post   31 May 2018, 16:13
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antoxavier wrote:
If cement, gravel and sand are to be mixed in 7:10:13 and 8 tons of cement is available how many tons of mixture can be produced assuming that sufficient gravel and sand is readily available.

A. 35 7/8
B. 36
C. 34 2/7
D. 34 5/7
E. 34 6/7


We have the ratio of cement : gravel : sand = 7x : 10x : 13x, for a total of 30x.

Since 8 tons of cement is available we have:

8 = 7x

8/7 = x

So the total mixture that can be produced is 30 * 8/7 = 240/7 = 34 2/7.

Answer: C
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Re: If cement, gravel and sand are to be mixed in 7:10:13 [#permalink]
31 May 2018, 16:13
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