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Question 6.3.5: Water Usage The cost for water in the city of Bradenton, Flo......

Water Usage

The cost for water in the city of Bradenton, Florida, is $2.14 per 1000 gallons (gal) of water used. What is the water bill if 25,000 gallons of water are used?

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This problem may be solved by setting up a proportion. One proportion that can be used is

\frac{cost of 1000 gal}{1000 gal} = \frac{cost of 25,000 gal}{25,000 gal}

The unknown quantity is the cost for 25,000 gallons of water, so we will call this quantity x. The proportion then becomes

Given  ratio \left \{\frac{2.14}{1000} =\frac{x}{25,000} \right.

Now we solve for x by using cross-multiplication.

(2.14)(25,000) = 1000x

53,500 = 1000x

\frac{53,500}{1000} = \frac{1000x}{1000}

53.50 = x

The cost of 25,000 gallons of water is $53.50.

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