Question 195292
x/30+(2,500-x)/40=70
(40x+30(2,500-x))/(30*40)=70
(40x+75,000-30x)/1,200=70
10x+75,000=70*1,200
10x+75,000=84,000
10x=84,000-75,000
10x=9,000
x=9,000/10
x=900 miles for the 30 mpg car.
2500-900=1,600 for the 40 mpg car.
Proof:
900/30+1,600/40=70
30+40=70
70=70