Question

Lynn is taking a trip in her car. She spent 387.00 on gasoline and snacks. Lynn spent 35.80 on snacks for the entire trip. Gasoline costs 2.54 per gallon.

How many gallons of gasoline did Lynn purchase on her trip?

Answer 1

Given : Lynn spent 387.00 on gasoline and snacks

Given : Lynn spent 35.80 on snacks for the entire trip

Money spent on gasoline :

Total money spent on gasoline and snacks - Money spent on snacks

`:\implies` Money spent on gasoline = 387.00 - 35.80

`:\implies` Money spent on gasoline = 351.20

Given : Gasoline costs 2.54 per gallon

`\implies \mathsf{Number\;of\;gallons\;of\;gasoline = (Total\;money\;spent\;on\;gasoline)/(Cost\;of\;gasoline\;per\;one\;gallon)}`

`\implies \mathsf{Number\;of\;gallons\;of\;gasoline = (351.20)/(2.54)}`

`\implies \mathsf{Number\;of\;gallons\;of\;gasoline = 138.27}`

Answer 2

138.27 gallons

Explanation:

Total cost = snacks + gallons * cost per gallon

387 = 35.80 + g*2.54

Subtract 35.80 from each side

387-35.80 = 35.80-38.50 + g*2.54

351.20= + g*2.54

Divide by 3.54 on each side

351.20/2.54 = 2.54g/2.54

138.2677165 = g

Rounding to the nearest hundredth

138.27 gallons