greatsavagebeast
greatsavagebeast greatsavagebeast
  • 06-02-2019
  • Mathematics
contestada

A vehicle uses 1 7/8 gallons of gasoline to travel 56 1/4 miles. At this rate, how many miles can the vehicle travel per gallon of gasoline.

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calculista
calculista calculista
  • 15-02-2019

Answer:

[tex]30\ miles[/tex]

Step-by-step explanation:

First convert mixed number to an improper fractions

[tex]1\frac{7}{8}=\frac{1*8+7}{8}=\frac{15}{8} \ gallons[/tex]

[tex]56\frac{1}{4}=\frac{56*4+1}{4}=\frac{225}{4} \ miles[/tex]

By proportion

[tex]\frac{(225/4)}{(15/8)}\frac{miles}{gallons} =\frac{x}{1}\frac{miles}{gallon} \\ \\x=(225*8)/(4*15)\\ \\x= 30\ miles[/tex]

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