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HELP!!!! The bus fare in a city is $1.50. People who use the bus have the option of purchasing a monthly coupon book for $24.00. 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.

Verified Answer :

meerkat18

Given:
Bus fare = 1.50
coupon book = 24 
bus fare w/ coupon book = 0.50

let x be the number of bus rides.

1.50x = 0.50x + 24
1.50x - 0.50x = 24
1x = 24
x = 24

24 bus rides for both to have the same cost.

1.50x = 0.50x + 24
1.50(24) = 0.50(24) + 24
36 = 12 + 24
36 = 36

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