A fruit salad contains 2/3 blueberries and the rest : Quant Question Archive [LOCKED]
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# A fruit salad contains 2/3 blueberries and the rest

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SVP
Joined: 16 Oct 2003
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08 Sep 2004, 21:31
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

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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08 Sep 2004, 21:49
9 quarts.

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

=> X=9

Total new quarts =X+ 12 => 9 + 12 => 21.
Raspberries originally present = (1/3)9 = 3
Total Rasberries in the salad now = 3+12=15.
So 15/21 = 5/7.
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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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08 Sep 2004, 22:32
1/3 x + 12 = 5/7 (x+12)

x=9

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

Jim

08 Sep 2004, 22:32
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