SOLUTION: A store sells only apple, orange and grape juice in its refrigerated case. The case contains 48 bottles of juice, 1/3 of which are apple. If there are 3 times as many bottles of or

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Question 1141625: A store sells only apple, orange and grape juice in its refrigerated case. The case contains 48 bottles of juice, 1/3 of which are apple. If there are 3 times as many bottles of orange juice as grape juice, what is the probability of reaching into the case and randomly picking out a bottle or orange juice??
Answer by VFBundy(438) About Me  (Show Source):
You can put this solution on YOUR website!
If there are 48 bottles of juice and 1/3 are apple juice, then there are 16 bottles of apple juice.

This leaves 32 remaining bottles of juice. From these 32 bottles, we know that 3/4 of them are orange juice and 1/4 of them are grape juice. (Because there are three times as many bottles of orange juice as grape juice.)

The number of bottles of orange juice is: 3/4 * 32 = 24
The number of bottles of grape juice is: 1/4 * 32 = 8

So, the totals of each type of juice:
Apple = 16
Orange = 24
Grape = 8

The probability of randomly choosing a bottle of orange juice:
24%2F%2816%2B24%2B8%29 = 24/48 = 1/2