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) (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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copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
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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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