Answer
The answer is $175$ miles and $\$67$.
Work Step by Step
Let the number of miles $=x$.
Condition first
Daily rental rate $=\$39$ plus $\$0.16$ per mile.
In the equation form.
$=39+0.16x$ ... (1)
Condition two
Daily rental rate $=\$25$ plus $\$0.24$ per mile.
In the equation form.
$=25+0.24x$ ... (2)
For the daily cost same equate both equations.
$25+0.24x=39+0.16x$
Rearrange to isolate $x$.
$0.24x-0.16x=39-25$
Simplify.
$0.08x=14$
$x=+\frac{14}{0.08}$
$x=175$miles. Substitute into equation (1).
daily cost $=39+0.16(175)$
$=39+28$
$=\$67$.
