1. 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?
(A) 9
(B) 12
(C) 15
(D) 21
(E) 25
Ans [spoiler](A)- 9[/spoiler]
Source – Princeton Review
I had made a table of Blueberries, Raspberries and then solved the question. Since there are 2/3 blueberries initially, then the number of raspberries would be 1/3.
We are given the total mixture contains 5/7 raspberries, hence the blueberries would be 2/7.
So since we add 12 to the initial mixture, the answer should be a multiple of 7. And then I got the answer as [spoiler]9. (A).[/spoiler]
Is there any other way of approaching this problem??
(A) 9
(B) 12
(C) 15
(D) 21
(E) 25
Ans [spoiler](A)- 9[/spoiler]
Source – Princeton Review
I had made a table of Blueberries, Raspberries and then solved the question. Since there are 2/3 blueberries initially, then the number of raspberries would be 1/3.
We are given the total mixture contains 5/7 raspberries, hence the blueberries would be 2/7.
So since we add 12 to the initial mixture, the answer should be a multiple of 7. And then I got the answer as [spoiler]9. (A).[/spoiler]
Is there any other way of approaching this problem??
