SOLUTION: The subway fare in a city is $1.55. People who use the subway may buy a monthly coupon book for $12.00. With the coupon book, the fare decreases to $.95. Determine the number of fa

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Question 178253: The subway fare in a city is $1.55. People who use the subway may buy a monthly coupon book for $12.00. With the coupon book, the fare decreases to $.95. Determine the number of fares in a month the subway must be used such that the total monthly cost without the coupon book is equal to the total monthly cost with the coupon book.
Answer by MathTherapy(10552) About Me  (Show Source):
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Let the number of subway fares be s
Since the total monthly cost without the coupon book should equal the total monthly cost with the coupon book
Then s(1.55) = s(.95) + 12
1.55s = .95s + 12
.6s = 12
s = 20

Therefore, the number of subway fares in order for the total monthly cost without the coupon book to equal the total monthly cost with the coupon book is 20.

Checking:
Total monthly cost without the coupon book: 20(1.55) = $31.00
Total monthly cost with the coupon book: 20(.95) + 12 = $31.00