1997 AJHSME Problems/Problem 13
Problem
Three bags of jelly beans contain 26, 28, and 30 beans. The ratios of yellow beans to all beans in each of these bags are , , and , respectively. All three bags of candy are dumped into one bowl. Which of the following is closest to the ratio of yellow jelly beans to all beans in the bowl?
Solution
In bag , there are jellybeans, and are yellow. That means there are yellow jelly beans in this bag.
In bag , there are jellybeans, and are yellow. That means there are yellow jelly beans in this bag.
In bag , there are jellybeans, and are yellow. That means there are yellow jelly beans in this bag.
In all three bags, there are yellow jelly beans in total , and jelly beans of all types in total.
Thus, of all jellybeans are yellow. Thus, the correct answer is
See also
1997 AJHSME (Problems • Answer Key • Resources) | ||
Preceded by Problem 12 |
Followed by Problem 14 | |
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