Question

the toll for a bridge is $7. drivers can purchase a discount pass for $32 and then pay $3 per crossing. how many times can a driver cross the bridge before the two options cost the same?

Answer 1

See below

Explanation:

Do a factor tree for sevens....

7, 14, 21, 28, 35, 42, 49

Then, for the price price start at 32 and add 3 for every crossingthe first crossing is the pass price plus the fee.

35, 38,41, 44, 47, 50

So the driver can cross five times for $35, or just once for the discount pass. However, the pass would be cheaper in the long run. By the 11th crossing the regular fee would be up to$77, while the discount would be $65.