Afamily 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 35 miles per gallon of gas. during one particular week, the two cars went a combined total of 1225 miles, for a total gas consumption of 50 gallons. how many gallons were consumed by each of the two cars that week?

first car:
second:

First car:  35 gallons

Second car: 15 gallons

Step-by-step explanation:

Assuming to be the gas consumed by 1st car and to be the gas consumed by 2nd car.

We know that:

Distance traveled = fuel efficiency × gas consumed

So

Therefore, first car consumed 35 gallons while second car consumed 15 gallons.

First car: 35 gallons

Second car: 15 gallons

Step-by-step explanation:

Set up a system of equations.Let be "x" the number of gallons consumed by the first car and "y" the number of gallons consumed by the second car.

Then:

Applying the Elimination method, multiply the first equation by -20, then  add both equations and solve for "y":

Substitute this value into the first equation and solve for "x":

your answer would be 10x - 1

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