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A standard train ticket in a certain city costs 3 per ride. people who use the train also have the option of purchasing a frequent-rider pass for 18.75 each month. with the pass, a ticket costs only 2.25 per ride. how many train rides in a month make the frequent-rider pass a better deal than standard train tickets?



a. 26 or more rides

b. 24 or more rides

c. 25 or more rides

d. 27 or more rides

Answer :

Number of  train rides to make the frequent-rider pass a better deal than standard train tickets is 26 or more rides.

As given,

Cost of standard train ticket = 3 per ride

Price of frequent rider pass= 18.75 each month

Cost of ticket using rider pass = 2.25 per ride

let x be the number of rides

Equation:

18.75 + 2.25x < 3x

⇒ 0.75x > 18.75

⇒ x > 25

Therefore, number of  train rides to frequent-rider pass a better deal than standard train tickets is 26 or more rides.

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