a family has two cars. the first car has a fuel efficiency of 40 miles per gallon of gas. during one particular week, the two cars went a combined total of 1800 miles, for a total gas consumption of 65 gallons. how many gallons were consumed by each of the two cars that week?

Question

rock_mit182 · Answer

a family has two cars. the first car has a fuel efficiency of 40 miles per gallon of gas and the second has a fuel efficiencyof 20 miles per gallon of gas. during one particular week, the two cars went a combined total of 1800 miles, for a total gas consumption of 65 gallons. how many gallons were consumed by each of the two cars that week?

rock_mit182 · Answer

X = number of gallons of car 1
y = number of gallons of car 2

1)$$40\frac{ miles }{ gallon }(x* galllon)  20\frac{ miles }{ gallon }(y*gallon)=1800miles$$

2) x + y = 50 gallons

nurali · Answer

Equation:
1st car DATA:
rate = 40 mi/gal ; # of gallons = x gal ; distance = 40x miles

2nd car DATA:
20 mi/gal ; # of gallons = 65-x gal ; distance = 20(65-x) miles


Equation:
40x + 20*65-20x = 1800

20x = 1800-1300

x = 25 gallons (gas consumed by 1st car)
65-x = 40 gallons (gas consumed by 2nd car)