Let x be the dayly mileage used.
Primo car charges $32 per day plus $0.10 per mile, then the cost for x miles is:
[tex]0.10x+32[/tex]Ultimo car charges $26 per day and $0.65 per mile, then the total cost for x miles is:
[tex]\text{0}.65x+26[/tex]We want to know for how many miles ultimo charges three times as much as primo, then we have the equation:
[tex]0.65x+26=3(0.10x+32)[/tex]Solving for x we have:
[tex]\begin{gathered} 0.65x+26=3(0.10x+32) \\ 0.65x+26=0.30x+96 \\ 0.65x-0.30x=96-26 \\ 0.35x=70 \\ x=\frac{70}{0.35} \\ x=200 \end{gathered}[/tex]Therefore for 200 miles ultimo charges three times as much as primo.
