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

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Director
Joined: 01 Feb 2003
Posts: 839

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In what proportion must sugar at \$3.1 per pound be mixed [#permalink]

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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?

Kudos [?]: 130 [0], given: 0

Director
Joined: 05 Jul 2004
Posts: 893

Kudos [?]: 68 [0], given: 0

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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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Senior Manager
Joined: 19 May 2004
Posts: 291

Kudos [?]: 16 [0], given: 0

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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

Kudos [?]: 16 [0], given: 0

08 Jul 2004, 07:11
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# In what proportion must sugar at \$3.1 per pound be mixed

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