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 \( 0.7x + y = 0.85 \times 36 \)
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 \( \boxed{18} \) ounces of \( 70\% \) fruit juice and \( \boxed{18} \) ounces of \( 100\% \) fruit juice