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QuestionIf Orly uses 2 cups of raisins for every 8 cups of trail mix, how much trail mix can she make with 10 cups of raisins?

Studdy Solution

STEP 1

Assumptions1. Orly uses cups of raisins for every8 cups of trail mix she makes. . She uses10 cups of raisins.

STEP 2

First, we need to find the ratio of raisins to trail mix. We can do this by dividing the amount of trail mix by the amount of raisins.
Ratio=Trail mixRaisinsRatio = \frac{Trail\, mix}{Raisins}

STEP 3

Now, plug in the given values for the amount of trail mix and raisins to calculate the ratio.
Ratio=8 cups2 cupsRatio = \frac{8\, cups}{2\, cups}

STEP 4

Calculate the ratio.
Ratio=8 cups2 cups=4 cupsRatio = \frac{8\, cups}{2\, cups} =4\, cups

STEP 5

Now that we have the ratio, we can find the total amount of trail mix Orly will make if she uses10 cups of raisins. We do this by multiplying the ratio by the amount of raisins.
Total trail mix=RatiotimesRaisinsTotal\, trail\, mix = Ratio \\times Raisins

STEP 6

Plug in the values for the ratio and the amount of raisins to calculate the total amount of trail mix.
Total trail mix=4 cupstimes10 cupsTotal\, trail\, mix =4\, cups \\times10\, cups

STEP 7

Calculate the total amount of trail mix Orly will make.
Total trail mix=4 cupstimes10 cups=40 cupsTotal\, trail\, mix =4\, cups \\times10\, cups =40\, cupsOrly will make40 cups of trail mix if she uses10 cups of raisins.

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