SOLUTION: 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 30 miles per gallon of gas. During one particular w

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Question 924723: 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 30 miles per gallon of gas. During one particular week, the two cars went a combined total of 1150 miles for a total gas consumption of 45 gallons. How many gallons were consumed by each of the two cars that week?
Thank you for your help!
Answer by TimothyLamb(4379) About Me  (Show Source):
You can put this solution on YOUR website!
x = miles driven by car a
y = miles driven by car b
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(1/20)x + (1/30)y = 45
x + y = 1150
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put the system of linear equations into standard form
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0.05x + 0.033333y = 45
x + y = 1150
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solution:
x = miles driven by car a = 400 miles
y = miles driven by car b = 750 miles
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mpg = m/g
g = m/mpg
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answer:
gallons consumed by car a = 400/20 = 20 gallons
gallons consumed by car b = 750/30 = 25 gallons
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