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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?

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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.

This problem has been solved

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