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 50%, 25%, and 50%, respectively. All three bags of candy are dumped into one bowl. To the nearest percent, what is the percentage of yellow jelly beans in the bowl?
+23245 In the first bag, there are 13 yellow beans (50% of 26).
In the second bag, there are 7 yellow beans (25% of 28)
In the third bag, there are 15 yellow beans (50% of 30).
There is a total of 13 + 7 + 15 = 35 yellow beans.
There is a total of 26 + 28 + 30 = 84 beans.
The percentage of yellow to the total is: 35 / 84 = 41.666666666%.
