Gustav is making punch for a big party with a pineapple juice to orange juice ratio of 7:147:14. If the amount of pineapple juice required is 21L21L, how much orange juice does Gustav need to put in? Remember to include units with your answer.
Question
Gustav is making punch for a big party with a pineapple juice to orange juice ratio of 7:147:14. If the amount of pineapple juice required is 21L21L, how much orange juice does Gustav need to put in? Remember to include units with your answer.
Solution
The ratio of pineapple juice to orange juice is 7:14. This means that for every 7 parts of pineapple juice, Gustav needs 14 parts of orange juice.
Given that the amount of pineapple juice required is 21L, we first need to determine how many 'parts' this represents in our ratio. We do this by dividing the amount of pineapple juice by the pineapple part of the ratio:
21L ÷ 7 = 3
So, 21L of pineapple juice represents 3 'parts'.
Since the orange juice part of the ratio is 14, we then multiply this by the number of 'parts' we just calculated to find out how much orange juice is needed:
14 * 3 = 42
Therefore, Gustav needs 42L of orange juice.
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