At Scratch and Dents Rent-a-Car, it costs $34.95 a day plus $0.23 per mile to rent a car. At Rent-a-Lemon, the charge is $25.00 a day plus $1.31 per mile. If you need to rent a car for three days, how many miles (to nearest tenth) must you drive for a car from both agencies to cost the same amount?
Choices
A) 25.7 Miles
B) 26.2 Miles
C) 27.6 Miles
D) 27.9 Miles
E) 29.9 Miles
For SaD:   SaDDaily = $34.95/Day   SaDMile = $0.23/Mile   For RaL:   RaLDaily = $25.00/Day   RaLMile = $1.31/Mile   We want the RaLTotal = SaDTotal, so we get   (RaLDaily * Days) + (RalMile * Miles) = (SaDDaily * Days) + (SaDMile * Miles)   =&gt; Miles = ( (SaDDaily * Days) - (RaLDaily * Days) ) / (RalMiles - SaDMiles) = ((SaDDaily - RaLDaily )* Days) / (RalMiles - SaDMiles)   Miles = (( $34.95 * 3 ) - ( $25.00 * 3 ))/($1.31 - $0.23) = 27.6 Miles   C. 27.6 Miles
<result>C</result>
At Scratch and Dents Rent-a-Car, it costs $34.95 a day plus $0.23 per mile to rent a car. At Rent-a-Lemon, the charge is $25.00 a day plus $1.31 per mile. If you need to rent a car for three days, how many miles (to nearest tenth) must you drive for a car from both agencies to cost the same amount?