You can drive your car 21.7 miles with one gallon of gasoline. At that rate, how many miles can you drive with 13.2 gallons of gasoline?

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You can drive your car 21.7 miles with one gallon of gasoline. At that rate, how many miles can you drive with 13.2 gallons of gasoline?

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Answer 1 · 2017-04-09T01:03:14

$286.4$ $286.4$ miles

Explanation:

This is a useful practical application of algebra! It is a ratio – something that can be used for comparisons or conversions. We set it up as a dimensional fraction to see how it works.

We have $(\frac{21.7 miles}{1 g a l l o n})$ $((21.7 "miles")/(1 gallon))$ as the ratio. We have a similar ratio with an unknown part:

$(\frac{? miles}{13.2 g a l l o n s})$ $(("? miles")/(13.2 gallons))$ Putting them together algebraically we can find the desired value and units.

$(\frac{21.7 miles}{1 g a l l o n})$ $((21.7 "miles")/(1 gallon))$ = $(\frac{? miles}{13.2 g a l l o n s})$ $(("? miles")/(13.2 gallons))$

$(? miles) = (13.2 g a l l o n s) \cdot (\frac{21.7 miles}{1 g a l l o n}) = 286.4$ $("? miles") = (13.2 gallons) * ((21.7 "miles")/(1 gallon)) = 286.4$ miles

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You can drive your car 21.7 miles with one gallon of gasoline. At that rate, how many miles can you drive with 13.2 gallons of gasoline?

1 Answer

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