There are two containers of milk. There is twice as much milk in the first container as in the second. After using 2 gal. of milk from the second container and 3 gal. of milk from the first container, the second container had 4.5 times less milk than the first. How many gallons of milk were in both containers originally?
Question
Answer:
Let us say that:
V1 = initial gallons in first container
V2 = initial gallons in second container
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From the problem statement, we can create the equations:
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V1 = 2 V2
V1 β 3 = 4.5 (V2 β 2)
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Combining the two:
2 V2 β 3 = 4.5 (V2 β 2)
2 V2 β 3 = 4.5 V2 β 9
2.5 V2 = 6
V2 = 2.4 gallons
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V1 = 2 V2 = 4.8 gallons
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So there are 4.8 gallons in the 1st container
while 2.4 gallons in the 2nd container.
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solved
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10 months ago
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