Sat math help

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Discus: SAT/ACT Tests and Test Preparation: October 2003 Archive: Sat math help
By Morgan (Morgan) on Thursday, October 30, 2003 - 02:01 am: Edit

A measuring cup contains 1/5 of a cup of orange juice. It is then filled to the 1 cup mark with a mixture that contains equal amounts of orange, grapefruit, and pineapple juices. What fraction of the final mixture is orange juice?
The answer is 7/15.

Someone please explain this problem. Thanks!

By Sarbear (Sarbear) on Thursday, October 30, 2003 - 02:26 am: Edit

OK, you start out with 1/5 of the cup filled with orange juice.

Then, 1/3 of the rest of the cup (4/5) is also orange juice, since the organge, grapefruit, and pineapple juices are equally distributed. So:

1/3 * 4/5= 4/15

add the 4/15 to the 1/5 you already have in the cup:

1/5 = 3/15
4/15 + 3/15 = 7/15

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