Answer:
x= 35 gallons consumed by 1st car
and y= 40 gallons consumed by 2nd car
Step-by-step explanation:
Fuel efficiency of 1st car = 15 miles per gallon
Fuel efficiency of 2nd car = 35 miles per gallon
Let x= gallons consumed by 1st car
and y= gallons consumed by 2nd car
Total gallons consumed by both cars = 75
so, we can write
x + y = 75
Miles covered by both cars = 1925 miles
and we know, Fuel efficiency of 1st car = 15 miles per gallon
Fuel efficiency of 2nd car = 35 miles per gallon
we can write the equation as
15 x + 35 y = 1925
where x and y are gallons consumed by 1st and 2nd car.
We have two equation now,
x + y = 75 (1)
15 x + 35 y = 1925 (2)
Multiplying eq(1) with 15 and subtracting eq (1) and 2
15 x + 15 y = 1125
15 x + 35 y = 1925
- - -
_______________
0 - 20 y = -800
y= -800 / -20
y = 40
Putting value of y in equation 1
x + y = 75
x + 40 = 75
x= 75 - 40
x = 35
x= 35 gallons consumed by 1st car
and y= 40 gallons consumed by 2nd car
