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Art Rider Training

July 9th, 2009



art rider training
liberal arts math problem?

A train ticket in a certain city is $1.50. People who use the train also have the option of purchasing a frequent rider pass for $18.75 each month. With the pass, each ticket only costs $0.75. Determine the number of times in a month the train must be used so that the total monthly cost WITHOUT the pass is the same as the total monthly cost WITH the pass.

show work!
I’m not in college, I’m not stupid either, this question simply just confused me a little, and I actually got 25, but I wasn’t sure if that was what the problem was asking me. THANKS.

let x = the number of times the train will be used.
With the pass, the total cost will be $1.5x
Without the pass, the total cost will be $18.75 for the pass plus $0.75 for every ride, that is 18.75+0.75x

1.5x = 0.75x + 18.75
1.5x-0.75x = 18.75
0.75x=18.75
x=18.75/0.75
x=25 <--- answer

Why is it that you're already in college and you still do not know how to do this? -__-

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