Marcus has a pool that can hold a maximum of 4500 gallons of water. The pool already contains 1500 gallons of water. Marcus begins to add more water at a rate of 30 gallons per minute. Write an inequality that shows the number of minutes, m, Marcus can continue to add water to the pool without exceeding the maximum number of gallons.

Question

Nicholson

Mathematics

18 January, 16:27

Marcus has a pool that can hold a maximum of 4500 gallons of water. The pool already contains 1500 gallons of water. Marcus begins to add more water at a rate of 30 gallons per minute. Write an inequality that shows the number of minutes, m, Marcus can continue to add water to the pool without exceeding the maximum number of gallons.

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Byron Berger · Answer 1

First, let's subtract the whole pool by the water currently in to find the water needed to fill it:

4500 - 1500 = 3000

Because we need to represent an inequality:

30m = 3000

Divide both by 30:

m = 100

It will take 100 minutes