SOLUTION: A family will drive 1,120 miles for vacation. The car gets 28 miles to the gallon. If gas costs $1.42 a gallon, how much should they budget for gas? I think it's 1120 divided by 28

Question 735430: A family will drive 1,120 miles for vacation. The car gets 28 miles to the gallon. If gas costs $1.42 a gallon, how much should they budget for gas? I think it's 1120 divided by 28 = 40 times 39.7 =$1588 but that seems extreme. Am I misplacing the period?
Thank you
Answer by josgarithmetic(39621) (Show Source): You can put this solution on YOUR website!
Arrange your ratios so that the units cancel, giving you results in dollars. You begin with MILES and you must finish in DOLLARS. The reason that units must cancel is because the ratios to use are fractions and each number is counting its corresponding unit of measure.

Your ratios are these:
28 miles = 1 gallon
1.42 dollars = 1 gallon

Starting with your 1120 miles, which ratio can you apply first? 28 miles per gallon or 1 gallon per 28 miles? Yes one of them. 1.42 dollars per gallon or 1 gallon per 1.42 dollars? How? None of the parts has miles.

What you will actually use is this:

Notice how the units cancel. Spaces were not included and first-letter capitalization was used both to achieve rendering in this web system and help facilitate human-reading.
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