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The bus fare in a city is $1.50 People who use the bus have the option of purchasing a monthly coupon book for $21.00. With the coupon​ book, the fare is reduced to $0.50. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.

Question

The bus fare in a city is $1.50 People who use the bus have the option of purchasing a monthly coupon book for $21.00. With the coupon​ book, the fare is reduced to $0.50. Determine the number of times in a month the bus must be used so that the total monthly cost without the coupon book is the same as the total monthly cost with the coupon book.

check_circleAnswer
Step 1

Let x be the number of times the bus is used in a month.

Step 2

Then, 

Total monthly cost without coupon book = 1.50x
Total monthly cost with coupon book = 21+0.5.x
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Total monthly cost without coupon book = 1.50x Total monthly cost with coupon book = 21+0.5.x

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Step 3
1.50x 21 0.5x
1.50x -0.5x = 21
> x= 21
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1.50x 21 0.5x 1.50x -0.5x = 21 > x= 21

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Tagged in

Math

Algebra

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