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by hareesh860 » Fri Feb 17, 2012 9:14 pm
A type of candy comes in two flavors, sweet and sour, and in two colors, yellow and green. The color and flavor of the individual pieces of candy are not related. If in a certain box of this candy 1/4 of the yellow pieces and 5/7 of the green pieces are sour, what is the ratio of the number of yellow pieces to the number of green pieces in the box?

(1) In the box, the number of sweet yellow pieces is equal to the number of sour green pieces.
(2) In the box, the number of green pieces is two less than the number of yellow pieces.
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by Anurag@Gurome » Fri Feb 17, 2012 9:32 pm
hareesh860 wrote:A type of candy comes in two flavors, sweet and sour, and in two colors, yellow and green. The color and flavor of the individual pieces of candy are not related. If in a certain box of this candy 1/4 of the yellow pieces and 5/7 of the green pieces are sour, what is the ratio of the number of yellow pieces to the number of green pieces in the box?

(1) In the box, the number of sweet yellow pieces is equal to the number of sour green pieces.
(2) In the box, the number of green pieces is two less than the number of yellow pieces.
Let us assume that there are x/4 yellow sour pieces. Then 3x/4 are yellow sweet pieces.
Also, assume that if there are 5y/7 green sour pieces, then there are 2y/7 green sweet pieces.

We have to find x:y

(1) # of sweet yellow pieces = # of sour green pieces
3x/4 = 5y/7
so, x/y = (4 * 5)/(7 * 3) = 20/21; SUFFICIENT.

(2) # of green pieces is two less than the number of yellow pieces implies y = x - 2; NOT sufficient.

The correct answer is A.
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