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Given:

  • distance = 3000 miles
  • 22 miles/gallon
  • $3.50 / gallon

First, setup the units to be dollars / mile.

Since we want dollars on top (in the numerator), we know to start with that conversion factor first. Then we need to somehow cancel out gallons. By dividing, we can accomplish this.


( $3.50 / gallon ) / ( 22 miles / gallon ) = $3.50 / 22 miles


Now simply multiply the new conversion factor by the distance, and using dimensional analysis, miles cancels out, leaving just dollars:

( $3.50 / 22 miles ) ( 3000 miles ) = $10500/22 ~= $477.27273


Since we are talking in dollars, you can only only have as low as a penny, so we'll round to two decimals and have:

$477.27273 ~= $477.27

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Q: How much would it cost to drive 3000 miles in a car that gets 22 mpg and gas costs 3.50 per gallon of gas?
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