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 3 days, how many miles ( to nearest tenth ) must you drive for a car from both agencies to cost the same amount? Choose the correct answer.
A) 25.7 miles
B) 26.2 miles
C) 27.6 miles
D) 27.9 miles
E) 29.9 miles
<gadget id="calculator">34.95 * 3</gadget>
<output>104.85</output>

<gadget id="calculator">25 * 3</gadget>
<output>75</output>

<gadget id="calculator">104.85 - 75</gadget>
<output>29.85</output>

<gadget id="calculator">1.31 - 0.23</gadget>
<output>1.08</output>

<gadget id="calculator">29.85 / 1.08</gadget>
<output>27.638889</output>

<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 3 days, how many miles ( to nearest tenth ) must you drive for a car from both agencies to cost the same amount?
divide(subtract(multiply(34.95, 3), multiply(25, 3)), subtract(1.31, 0.23))
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 ) = > 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