SOLUTION: A bag of jelly beans had only grape and orange beans in it. The ratio of grape jelly beans to orange jelly beans is 3 to 8. If there are 56 jelly beans in the bag, how many of each

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Question 1082484: A bag of jelly beans had only grape and orange beans in it. The ratio of grape jelly beans to orange jelly beans is 3 to 8. If there are 56 jelly beans in the bag, how many of each kind are there?
Answer by math_helper(2461) About Me  (Show Source):
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A bag of jelly beans had only grape and orange beans in it. The ratio of grape jelly beans to orange jelly beans is 3 to 8. If there are 56 jelly beans in the bag, how many of each kind are there?
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G=# Grape jellybeans
R=# Orange jellybeans
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G + R = 56 (1) —> R = 56-G
G/R = 3/8 (2)
G/(56-G) = 3/8
8G = (56-G)*3
8G = 168-3G
11G = 168
G = 15.272727
R = 40.727272
Since the answers are not integers, the problem statement is flawed. Or, I've made a mistake(?)
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