A fruit punch is made by mixing juice and soda in the ratio 2:5.
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A fruit punch is made by mixing juice and soda in the ratio 2:5. If 10 liters of juice are used, how much soda is needed?
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Answer: D. 25 liters
The ratio of juice to soda is 2:5, meaning for every 2 parts juice, there are 5 parts soda. If 10 liters of juice corresponds to 2 parts, then each part equals 5 liters. Therefore, 5 parts of soda equals 5 × 5 = 25 liters.
Step-by-step Derivation:
Given: juice:soda = 2:5, and juice = 10 liters
Let the common multiplier be k.
Juice = 2k = 10 liters
Solving for k: k = 10/2 = 5 liters per part
Soda = 5k = 5 × 5 = 25 liters