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In what proportion must sugar at $3.1 per pound be mixed

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In what proportion must sugar at $3.1 per pound be mixed [#permalink] New post 07 Jul 2004, 12:55
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In what proportion must sugar at $3.1 per pound be mixed with sugar at $3.6 per pound, so that the mixture be worth $3.25 per pound?
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 [#permalink] New post 08 Jul 2004, 02:28
Logic behind this is that one should pay the same price whether he/she is buying before mixing or after mixing.

Let x1 amount of 3.1 is mixed with x2 amount of 3.6.

So, x1 * 3.1 + x2 * 3.6 = (x1 + x2) 3.25
Solving, we get x1:x2 = 7:3
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 [#permalink] New post 08 Jul 2004, 07:11
It might be faster to solve like this -

3.25 - 3.1 = 15 cents.
3.60 - 3.25 = 35 cents

35/15 = 7/3
  [#permalink] 08 Jul 2004, 07:11
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