A family has two cars. The first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of 35 miles per gallon of gas. During one particular week, the two cars went a combined total of 1225 miles, for a total gas consumption of 50 gallons. How many gallons were consumed by each of the two cars that week? first car:Second:
Accepted Solution
A:
Answer:First car: 35 gallonsSecond car: 15 gallonsStep-by-step explanation:Assuming [tex] x [/tex] to be the gas consumed by 1st car and [tex] 50 - x [/tex] to be the gas consumed by 2nd car.We know that:Distance traveled = fuel efficiency × gas consumed[tex]20x+35(50-x)=1225[/tex][tex]20x+1750-35x=1225[/tex][tex]35x-20x=1750-1225[/tex][tex]15x=525[/tex][tex]x=35[/tex]So [tex]50 - x = 50-35=15 [/tex] Therefore, first car consumed 35 gallons while second car consumed 15 gallons.