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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?

 Jul 4, 2021
 #1
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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%.

 Jul 5, 2021

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