Difference between revisions of "1997 AJHSME Problems/Problem 13"
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Latest revision as of 23:26, 4 July 2013
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 | |
| 1 • 2 • 3 • 4 • 5 • 6 • 7 • 8 • 9 • 10 • 11 • 12 • 13 • 14 • 15 • 16 • 17 • 18 • 19 • 20 • 21 • 22 • 23 • 24 • 25 | ||
| All AJHSME/AMC 8 Problems and Solutions | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
