Question
Jack mixes 3 liters of a 40% juice concentrate with 5 liters of a 20% concentrate. What is the resulting concentration?
Jack mixes 3 liters of a 40% juice concentrate with 5 liters of a 20% concentrate. What is the resulting concentration?
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Koala Tutor
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To solve the problem, we need to find the total amount of concentrate and the resulting concentration.
Let's calculate the total amount of concentrate:
Jack has 3 liters of 40% concentrate = 3 * 0.40 = 1.2 liters of concentrate.
Jack also has 5 liters of 20% concentrate = 5 * 0.20 = 1 liter of concentrate.
Now let's calculate the total amount of concentrate:
3 liters + 5 liters = 8 liters.
Finally, let's calculate the resulting concentration:
(1.2 liters + 1 liter) / 8 liters = 2.2 liters / 8 liters = 0.275 or 27.5%.
Therefore, the resulting concentration is 27.5%.
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