A fruit punch that contains $70 %$ fruit juice is combined with $100 %$ fruit juice. How many ounces of each should be used to make 36 oz of a mixture that is $85 %$ fruit juice?
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To make $36$ oz of a mixture that is $85 %$ fruit juice, we should use $18$ ounces of $70 %$ fruit juice and $18$ ounces of $100 %$ fruit juice

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Step 1 ：Let $x$ be the amount of $70 %$ fruit juice and $y$ be the amount of $100 %$ fruit juice

Step 2 ：The total amount of the mixture is $36$ oz, so we have the equation $x + y = 36$

Step 3 ：The final mixture should be $85 %$ fruit juice, so we have the equation $0.7 x + y = 0.85 \times 36$

Step 4 ：Solve the system of equations to find the values of $x$ and $y$

Step 5 ：The solution is $x = 18$ and $y = 18$

Step 6 ：To make $36$ oz of a mixture that is $85 %$ fruit juice, we should use $18$ ounces of $70 %$ fruit juice and $18$ ounces of $100 %$ fruit juice

A fruit punch that contains 70% fruit juice is combined with 100% fruit juice. How many ounces of each should be used to make 36 oz of a mixture that is 85% fruit juice?Part: 0/2Part 1 of 2

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A fruit punch that contains $70 %$ fruit juice is combined with $100 %$ fruit juice. How many ounces of each should be used to make 36 oz of a mixture that is $85 %$ fruit juice?
Part: $0 / 2$
Part 1 of 2