A snack mix as made by combining 5 lbs of dried sereal costi

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A snack mix as made by combining 5 lbs of dried sereal costi [#permalink]

22 Aug 2009, 20:23

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A snack mix as made by combining 5 lbs of dried sereal costing $.80 a pound to peanuts that cost $2.40 a pound. How many pounds of peanuts must be added to have a mix that cost $1.40 a pound?

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Re: mixture [#permalink]

22 Aug 2009, 21:07

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(5*0.8+2.4*x)/(5+x)=1.4

x=3
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Re: mixture [#permalink]

12 Jan 2012, 07:58

final ratio would be = 1.4-0.8 : 2.4-1.4 = 5:3

ans: 3
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Re: mixture [#permalink]

23 Jan 2013, 09:02

I have a question as to why is there a "5 + x" in the denominator ..I understand everything else.

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Re: mixture [#permalink]

23 Jan 2013, 09:29

pharm wrote:

I have a question as to why is there a "5 + x" in the denominator ..I understand everything else.

Pharm "5+x" is because this is based on Weighted average concept.

Total / Sum = Average
or
Total cost / Total weight = Average Cost

Here Total weight = (Weight * Cost ) + (Weight * Cost)
Total weight = sum of weights
Which results in average cost

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Re: A snack mix as made by combining 5 lbs of dried sereal costi [#permalink]

23 Jan 2013, 10:46

Oh.. Wow a Eureka moment here! Thanks a lot!

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Re: A snack mix as made by combining 5 lbs of dried sereal costi [#permalink] 23 Jan 2013, 10:46

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A snack mix as made by combining 5 lbs of dried sereal costi

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A snack mix as made by combining 5 lbs of dried sereal costi

A snack mix as made by combining 5 lbs of dried sereal costi

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