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(52814)   (Show Source):
You can put this solution on YOUR website! .
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?
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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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