# SOLUTION: A family has two cars. The first carf has a fuel efficiency of 28 miles per gallon of gas and the second has a fuel efficiency of 34 miles per gallon of gas. During one particular

Algebra ->  Algebra  -> Linear-equations -> SOLUTION: A family has two cars. The first carf has a fuel efficiency of 28 miles per gallon of gas and the second has a fuel efficiency of 34 miles per gallon of gas. During one particular       Log On

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 Click here to see ALL problems on Linear-equations Question 390541: A family has two cars. The first carf has a fuel efficiency of 28 miles per gallon of gas and the second has a fuel efficiency of 34 miles per gallon of gas. During one particular week, the two cars went a combined total of 2100 miles, for a total gas consumption of 85 gallons. How many gallons were consumed by each of the two cars that week?Answer by stanbon(57424)   (Show Source): You can put this solution on YOUR website!A family has two cars. The first car has a fuel efficiency of 28 miles per gallon of gas and the second has a fuel efficiency of 34 miles per gallon of gas. During one particular week, the two cars went a combined total of 2100 miles, for a total gas consumption of 85 gallons. How many gallons were consumed by each of the two cars that week? --- Equation: Gas Equation: x + y = 85 gallons Distance Eq: 28x+34y = 2100 miles ----- Multiply thru the gas eq by 28 to get: 28x + 28y = 28*85 --- Subtract that from the distance Eq. and solve for "y": 6y = -280 y = 46 2/3 gallons (amt. consumed by the 34 mpg car) --- x = 85-46 2/3 = 38 1/3 gallons (amt. consumed by the 28 mpg car) ========================= Cheers, Stan H.