Question

3 A Gas station A charges $3.50 per gallon of gas plus 58 for a car wash. Gas station B charges $3.25 per gallon of gas plus S10 for a car wash. How many gallons of gas must a customer purchase for the total cost to be the same at both gas stations? ​

Answer 1

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Answer:

  8 gallons

Step-by-step explanation:

The $2 difference in the price of a car wash is made up by the gas purchase at the rate of $0.25 per gallon. So, it takes ...

  $2/($0.25/gal) = 8 gal

to make the costs the same.

The customer must purchase 8 gallons for the total cost to be the same at both gas stations.

___

  3.50g +8 = 3.25g +10 . . . . costs at each station for g gallons of gas + wash

  0.25g = 2 . . . . . . . . . subtract 3.25g+8 from both sides

  g = 2/.25 = 8 . . . . . . the way we did it above