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A family has two cars. the first car has a fuel efficiency of 30 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 1975 miles, for a total gas consumption of 60 gallons. how many gallons were consumed by each of the two cars that week?

Respuesta :

nhatminh082004pc2e48
x : the gas used by first car in 1 particular week
y : the gas used by second car in 1 particular week
[tex]x + y = 60 \\ x = 60 - y[/tex]
[tex]30x + 35y = 1975 \\ 30 \times (60 - y) + 35y = 1975 \\ ... \\ y = 35 \\ x = 60 - y = 60 - 35 = 25[/tex]

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