Answer:
The car that has a fuel efficiency of 40 mpg consumed 35 gallons, while the car that has a fuel efficiency of 20 mpg consumed 40 gallons.
Step-by-step explanation:
The variable a will represent the fuel consumed by the first car, and the variable b will represent the fuel consumed by the second car.
Set up the formula: a+b=75, which will represent the total gas consumption.
The formula 20a+40b=2200 will help you solve.
To solve, we will first solve for a by changing the formula from a+b=75 to b=75-a. Then you plug in the value of b to the second formula:
20a+40(75-a)=2200
20a+3000-40a=2200
3000-20a=2200
After subtracting 3000 from both sides, you are left with -20a=-800. Multiply both sides by -1 so that both sides are positive:
20a=800
a=40
Now that we know that the car with a 20 mpg fuel efficiency consumed 40 gallons that week, we can subtract 40 from 75, leaving us with 35 being the amount of gallons consumed by the car with a 40 mpg efficiency.
