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A swimming pool contains 2,500 gallons of water. Roger fills the swimming pool at 5 gallons per minute. Another swimming pool contains 5,200 gallons of water. Maria drains the swimming pool at 15 gallons per minute. After how many minutes will the two swimming pools contain the same amount of water?.

User Amlyhamm
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1 Answer

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23 votes

Explanation:

A swimming pool contains 2,500 gallons of water. Roger fills the swimming pool at 5 gallons per minute. Another swimming pool contains 5,200 gallons of water. Maria drains the swimming pool at 15 gallons per minute. After how many minutes will the two swimming pools contain the same amount of water?

2,500 + 5m = 5,200 - 15m

2,500 + 5m = 5,200 - 15m

add 15m to both sides:

2,500 + 5m + 15m = 5,200 - 15m + 15m

2,500 + 20m = 5,200

subtract 2,500 from both sides:

2,500 + 20m - 2,500 = 5,200 - 2,500

20m = 2,700

divide both sides by 20:

20m/20 = 2,700/20

m = 135

User Tofeeq Ahmad
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