# Algebra 1

Maria has 8 cups of a fruit punch that consists of 25% orange juice and 75% apple juice. She wants to make a drink that is 40% orange juice. How many cups of orange juice should Maria add to th mixture?

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3. 👁 165

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posted by Victoria
2. 3.2 cups

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posted by Bethany
3. so 4 cups

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posted by Bethany
4. What are the steps to solve this?

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posted by Victoria
5. work with the amount of orange juice in each container. If x cups of 100% orange juice are added to 8 cups of 25% orange juice, she will wind up with x+8 cups of 40% orange juice.

.25*8 + 1.00*x = .40(8+x)
x = 2

check:
There are 2 cups of oj in the 8 cups of 25% mix
There are 2 cups of oj in the added 2 cups of pure juice

so, we wind up with 4 cups of oj in 10 cups of mix, or 40%

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posted by Steve

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