SOLUTION: Marisol has two different methods of commuting to and from work: she either takes the subway, which costs $2.75 per one-way trip, or she takes a car service, which costs $18.50 per

Question 1189195: Marisol has two different methods of commuting to and from work: she either takes the subway, which costs $2.75 per one-way trip, or she takes a car service, which costs $18.50 per one-way trip. Last week, she worked 5 days, commuting to and from work each day. If her total commuting cost for the week was $74.75, how many times did she take the car service?
Answer by ikleyn(52831) (Show Source): You can put this solution on YOUR website!
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Marisol has two different methods of commuting to and from work:
she either takes the subway, which costs $2.75 per one-way trip, or she takes a car service, which costs $18.50 per one-way trip.
Last week, she worked 5 days, commuting to and from work each day. If her total commuting cost for the week was $74.75,
how many times did she take the car service?
~~~~~~~~~~~~~~

Let  x  be  "how many times did she take the car service" (the unknown value under the problem's question).


Then for the subway trips, we have the number 5*2 - x = 10-x.


After that, we write the "money equation"


    2.75*(10-x) + 18.50x = 74.75  dollars.


From the equation,


    x =  = 3.


ANSWER.  She took car service 3 times, and she used the subway 10-3 = 7 times.


CHECK.  3*18.50 + 7*2.75 = 74.75 dollars, in total.   ! Correct !

Solved, checked and explained.

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