Question

The base fare per ride on the MTA bus or subway is $2.75, but you get a 5% discount with a purchase. A weekly unlimited MetroCard costs $32.00. How many rides a week will make the weekly unlimited pass more cost-effective?

Answer 1

"13" or "more than 13" rides will make the weekly unlimited pass more cost effective. A further solution is provided below.

The given values are:

• Base fare per ride = $2.75
• Discount = 5%
• Weekly unlimited Metro Card costs = $32

The Fare after discount will be:

= $2.75\times \frac{100-5}{100}$

= $2.75\times \frac{95}{100}$

= $2.75\times 0.95$

= $2.6125$ ($)

hence,

In $32, the minimum number of rides will be:

= $\frac{32}{2.6125}$

= $12.24$

or,

= 13

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