James is making punch for a big party with a pineapple juice to orange juice ratio of 6:116:11. If the amount of pineapple juice required is 18L18L, how much orange juice does James need to put in?
Question
James is making punch for a big party with a pineapple juice to orange juice ratio of 6:116:11. If the amount of pineapple juice required is 18L18L, how much orange juice does James need to put in?
Solution
To solve this problem, we need to set up a proportion using the given ratio of pineapple juice to orange juice, which is 6:11.
Step 1: Set up the proportion The proportion is 6/11 = 18/x, where x is the amount of orange juice needed.
Step 2: Solve for x Cross-multiply to solve for x: 6x = 1118
Step 3: Simplify 6*x = 198
Step 4: Divide by 6 x = 198/6
Step 5: Simplify to find the answer x = 33
So, James needs 33 liters of orange juice.
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