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# Two mixtures A and B contain milk and water in the ratios

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Re: Two mixtures A and B contain milk and water in the ratios [#permalink]

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22 Nov 2014, 12:24
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Re: Two mixtures A and B contain milk and water in the ratios [#permalink]

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15 Jun 2016, 05:53
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Two mixtures A and B contain milk and water in the ratios [#permalink]

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15 Jun 2016, 11:44
let x=gallons of A to be mixed
2/7*x+5/9*90=.4(x+90)
x=490/4=122.5 gallons

Last edited by gracie on 23 Dec 2016, 13:32, edited 1 time in total.
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Re: Two mixtures A and B contain milk and water in the ratios [#permalink]

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02 Aug 2016, 02:37
bmwhype2 wrote:
Two mixtures A and B contain milk and water in the ratios 2:5 and 5:4 respectively. How many gallons of A must be mixed with 90 gallons of B so that the resultant mixture contains 40% milk?

A. 144
B. 122.5
C. 105.10
D. 72
E. 134

I tried two approaches.one in which i convereted 40% to fraction form and the second in which i converted 2/7 to % form.The later method yielded the correct OA.why???
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Re: Two mixtures A and B contain milk and water in the ratios [#permalink]

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02 Aug 2016, 05:34
How abt this approach.

of all the options provided only 122.5 is divisible by 7 ie. ratio of A is 2:5, so the mixture need to be in multiple of 7.
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Re: Two mixtures A and B contain milk and water in the ratios [#permalink]

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23 Dec 2016, 08:03
2x+50/5x+40=4/6, find x, then don't get into decimals, approx 17.something then 2(17)+5(17)= approx 122
Re: Two mixtures A and B contain milk and water in the ratios   [#permalink] 23 Dec 2016, 08:03

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