A chef is preparing a fruit punch. The recipe calls for orange juice and pineapple juice to be mixed in a ratio of 3:5. If the chef uses 1.2 liters of orange juice, what total volume of fruit punch will be made?
What total volume of fruit punch will be made?
A: 2.0 liters
B: 3.2 liters
C: 4.8 liters
D: 6.0 liters
Answer:B
The ratio of orange juice to pineapple juice is given as 3:5.
This means that for every 3 parts of orange juice, there are 5 parts of pineapple juice.
The chef uses 1.2 liters of orange juice, which corresponds to the '3 parts' in the ratio.
To find the volume that represents one part, divide the total orange juice by its ratio value: 1.2 liters / 3 = 0.4 liters per part.
Now, calculate the volume of pineapple juice, which corresponds to '5 parts': 5 parts * 0.4 liters/part = 2.0 liters.
The total volume of fruit punch is the sum of the orange juice and pineapple juice: 1.2 liters + 2.0 liters = 3.2 liters.
Why others are wrong:
A — This option represents only the volume of pineapple juice, not the total volume of the fruit punch.
B — Correct.
C — This option might be derived from incorrectly calculating (1.2 L * 3) + 1.2 L, misapplying the ratio for direct multiplication and addition.
D — This option might be derived from mistakenly multiplying the given orange juice volume (1.2 L) by the pineapple juice ratio part (5), without correctly determining the value of one part.
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