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?
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%.