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A fruit salad contains 2/3 blueberries and the rest

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SVP
SVP
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A fruit salad contains 2/3 blueberries and the rest [#permalink] New post 08 Sep 2004, 21:31
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A fruit salad contains 2/3 blueberries and the rest raspberries. Chen loves raspberries, so she added 12 quarts of raspberries to the salad. If the mixture is now 5/7 raspberries, how many quarts of fruit salad were there to begin with?
Director
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 [#permalink] New post 08 Sep 2004, 21:49
9 quarts.

(1/3)X + 12 = (5/7)(X+12)

=> X=9

Checking the answer:
Total new quarts =X+ 12 => 9 + 12 => 21.
Raspberries originally present = (1/3)9 = 3
Rasberries added = 12
Total Rasberries in the salad now = 3+12=15.
So 15/21 = 5/7.
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 [#permalink] New post 08 Sep 2004, 22:03
Let quarts at the start be q

blueberries = 2/3q
raspberries = 1/3q

Added 12 quarts of raspberries, so now raspberries = 1/3q+12

So total should now be q+12

Fraction of raspberries:

(q/3+12)/(q+12) = 5/7
q = 9
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 [#permalink] New post 08 Sep 2004, 22:32
1/3 x + 12 = 5/7 (x+12)


x=9

ans = 1/3 x = 9 *1/3= 3
_________________

Jim

  [#permalink] 08 Sep 2004, 22:32
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A fruit salad contains 2/3 blueberries and the rest

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