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The amount of chlorine in a swimming pool varies directly with the volume of water. The pool has 2.5 milligrams of chlorine per liter of water. There are 8000 gallons of water in the swimming pool. How much chlorine is in the pool? Round to the nearest thousand milligrams.

Question

The amount of chlorine in a swimming pool varies directly with the volume of water. The pool has 2.5 milligrams of chlorine per liter of water. There are 8000 gallons of water in the swimming pool. How much chlorine is in the pool? Round to the nearest thousand milligrams.

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Solution

First, we need to convert the volume of the pool from gallons to liters because the amount of chlorine is given in milligrams per liter.

1 gallon is approximately 3.78541 liters.

So, 8000 gallons is approximately 8000 * 3.78541 = 30283.28 liters.

Next, we multiply the volume of the pool in liters by the amount of chlorine per liter to find the total amount of chlorine in the pool.

So, 30283.28 liters * 2.5 milligrams/liter = 75620.7 milligrams.

Rounding to the nearest thousand, we get approximately 76000 milligrams of chlorine in the pool.

This problem has been solved

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