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# Volume Question!

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Tank X and Tank Y are each filled with some water. When water from Tank Y is poured into Tank X until it reaches the brim, there will be 16 litres of water left in Tank Y. When water from Tank X is poured into Tank Y until it reaches the brim, there will be 54 litres of water left in Tank X. The capacity of Tank X is three times the capacity of Tank Y. How many more litres of water are needed to fill both tanks to their brims?

CoolPerson  Feb 22, 2017
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Tank X = 3(Tank Y)

Tank X = W(water) + 56(liters)

Tank Y = W(water) + 16(liters)

Therefore: W + 56 = 3(W + 16)

W + 56 = 3W  +  48

-W        = -W

56 = 2W  + 48

-48 =         -48

8 = 2W

4 = W

Tank X = 4 + 56 = 60 liters

Tank Y = 4 + 16 = 20 liters

4 liters of water is needed to fill both tanks.

joyce.mangum  Feb 22, 2017

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