Afamily has two cars. during one particular week, the first car consumed 35 gallons of gas and the second consumed 25 gallons of gas. the two cars drove a combined total of 2150 miles, and the sum of their fuel efficiencies was 70 miles per gallon. what were the fuel efficiencies of each of the cars that week?

Call car one = o

Call car two = t

o = 35 gallons

t = 25 gallons

d1 = do

d2 = 2150 - do

effici_0 = e

effic_2 = 70 - e

35*e = do

25*(70 - e) = 2150 - do         Substitute do into this equation

25*(70 - e) = 2150 - 35e       Remove the  brackets on the left

1750 - 25e = 2150 - 35e       Add 35e to both sides

1750 - 25e + 35e = 2150 - 35e + 35e

1750 + 10e = 2150                 Subtract 1750 from both sides.

1750 - 1750 + 10e = 2150 - 1750

10e = 400                              Divide by 10

e = 40                                    Answer for Car 1

70 - e = effic2                        

70 - 40 = 30                         Answer for Car 2

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