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Leno4ka [110]
3 years ago
5

A vehicle uses 1 1/8 gallons of gasoline to travel 13 1/2 miles. At this rate, how many miles can the vehicle travel per gallon

of gasoline?
Mathematics
1 answer:
valentina_108 [34]3 years ago
3 0

Answer:

12 miles

Step-by-step explanation:

The problem above is related to the topic on "Equivalent Ratios." The missing term above is <em>"the number of miles that the vehicle can travel per gallon of gasoline."</em> In order to find this term, you have to use the "cross products."

Let n be the missing term.

  • 1\frac{1}{8} gallons/13\frac{1}{2} miles = \frac{1 gallon}{n}
  • \frac{9}{8} gallons/\frac{27}{2} miles = \frac{1 gallon}{n}
  • \frac{9}{8} x n = \frac{27}{2} x 1 gallon
  • n = \frac{27}{2} ÷ \frac{9}{8}
  • n = \frac{27}{2} x \frac{8}{9}
  • n = 12 miles

Therefore, the vehicle can travel 12 miles per gallon of gasoline.

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