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# ratio question

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ratio question [#permalink]  23 Apr 2007, 05:56
00:00

Difficulty:

5% (low)

Question Stats:

50% (01:45) correct 50% (00:39) wrong based on 22 sessions
what is the quickest way of solving this problem?

a mixture of nuts is to contain 3 parts cashews to 6 parts almonds to 7 parts walnuts by weight. How many pounds of almonds will be needed to make 5 pounds of the mixture?

a.) 3/8
b.) 8/15
c.) 6/5
d.) 5/3
e.) 15/8

also, are there any other tricks/pointers that ya'll might know of that involve ratios? thanks a lot!
Director
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a mixture of nuts is to contain 3 parts cashews to 6 parts almonds to 7 parts walnuts by weight. How many pounds of almonds will be needed to make 5 pounds of the mixture?

a.) 3/8
b.) 8/15
c.) 6/5
d.) 5/3
e.) 15/8

First of all, write the ratios in a mixture.
The cashews, almonds and walnuts are in ratio 3:6:7
It means that, in 16 pounds of mixture, cashews are 3 pounds, almonds are 6 pounds, walnuts are 7 pounds

So in 5 pounds of mixture the almonds will be = 6*5/16 = 15/8
GMAT Club Legend
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c:a:w = 3:6:7

Total number of parts = 16

So 5 pounds = 16 parts.
Therefore 6 parts = 6/16 * 5 = 15/8 pounds,
Director
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Ratio of almonds to the mixture = 6 / 16

for a mixture of 5 --> almonds = 5 x 6/16 = 30/16 = 15/8

Manager
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I write the following on my paper:

C A W = T
3 6 7 = 16
X = 5

Then after simplification X = 15/8. Answer e.
Manager
Joined: 18 Apr 2007
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First write out the ratio:

3:6:7

Now we add x as the number of pounds of each part:

3x+6x+7x=5(the total # of pounds needed)

16x=5 --> x=5/16

This means that each pounds is 5/16 of the total.

Multiply this by the 6 parts of almonds and you get:

(5/16)*6 = 30/16 = reduces to 15/8

SVP
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Re: ratio question [#permalink]  14 Aug 2009, 00:38
what is the quickest way of solving this problem?

a mixture of nuts is to contain 3 parts cashews to 6 parts almonds to 7 parts walnuts by weight. How many pounds of almonds will be needed to make 5 pounds of the mixture?

a.) 3/8
b.) 8/15
c.) 6/5
d.) 5/3
e.) 15/8

16 x = 5 pounds , x = 5/16

Almonds weight = 5/16*6 = 15/8

also, are there any other tricks/pointers that ya'll might know of that involve ratios? thanks a lot![/quote]
Manager
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Re: ratio question [#permalink]  25 Jan 2010, 22:05
CAW
3:6:7

A = 6/16

6/16=x/5
x=15/8
Manager
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Re: ratio question [#permalink]  12 Feb 2010, 18:06
6 out of 16 => ? out of 5

solving 15/8
Intern
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Re: ratio question [#permalink]  04 Oct 2010, 16:33
16 ---------- 6

5 ----------- x

Cross multiplication:

X = 15/8

Maybe this is the easyest way to solve.
Manager
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Re: ratio question [#permalink]  13 Mar 2011, 01:30
easier problem than the ones ive seen on here...
3x+6x+7x = 5
x= 5/16
6x = 6(5/16) = 5/8
Director
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Re: ratio question [#permalink]  14 Dec 2011, 11:34
The ratios = 3:6:7
Almond in 1 pound 1*6/16 = 6/16
Almond in 5 pound = [6/16]*5= 15/8
Ans. E
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Re: ratio question   [#permalink] 14 Dec 2011, 11:34
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