The fuel consumption of each of the cars during the week are as follows;
- The first car consumes <u>20 gallons of fuel</u>.
- The second car consumes <u>30 gallons of fuel</u>.
Reasons:
Fuel efficiency of the first car = 15 miles per gallon
Fuel efficiency of the second car = 35 miles per gallon
Combined distance traveled by the two cars in a week = 1,350 miles
The total gas consumption during the week = 50 gallons
Let <em>x</em> represent the number of gallons consumed by the first car, and let <em>y</em>
represent the number of gallons consumed by the second car, we get the
following system of simultaneous equations;
- 15·x + 35·y = 1,350...(1)
Therefore;
y = 50 - x
Which gives;
15·x + 35 × (50 - x) = 1,350
15·x + 1,750 - 35·x = 1,350
1,750 - 1,350 = 35·x - 15·x = 20·x
400 = 20·x
x = 400 ÷ 20 = 20
- The number of gallons consumed by the first car, x = <u>20 gallons</u>
From equation (2), we have;
x + y = 50
y = 50 - x
Therefore;
y = 50 - 20 = 30
- The number of gallons consumed by the second car, y = <u>30 gallons</u>
Learn more about word problems that lead to simultaneous equations here:
brainly.com/question/1717365
