Question

Darcy likes to eat peanut butter and raisins on apple slices. On each apple slice, she puts 1/16 cup of peanut butter and 8 raisins.

Darcy has 2/5 cups of peanut butter and 80 raisins. She eats a whole number of apple slices until the peanut butter is all gone. What fraction of the 80 raisins did she eat?

Enter the fraction in the response box.

Answer 1

Answer:

7/10

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Step-by-step explanation:

The answer is 7/10.

For one apple slice, Darcy needs 1/16 cup of peanut butter and 8 raisins. She has 2/5 cup of peanut butter. To compare how many butter she has and she needs we will divide 2/5 with 1/16

If she has 2/5 cup of peanut butter, she will have it only fo 6 or 7 apple slices (2/5 ÷ 1/16 = 32/5 = 6.4) depending how it is rounded.

If she prepares 6 apple slices, she will still have a little of peanut butter left (0.4 = 2/5 of cup). So, she will prepare 7 apple slices so the butter will be all gone.

For 7 apple slices, she needs: 7 × 8 = 56 raisins

That is 56 raisins out of 80 raisins, so fraction of the 80 raisins did she eat is:

56/80 = 7/10

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