The college town transit syste offers two bargain ticket boo

The college town transit syste offers two bargain ticket booklets, each good for one month. The Regular RIder discount booklet of transit tickets costs $10.00 plus $.25 per ride, and the caual commuter discount booklet costs only $4.00 but riders have to pay an additional $.50 per ride. Magoli and Dorian are debating which type of booklet each should buy. Magoli, who rides more often, decides on the regular rider booklet, and Dorian chooses the casual commuter. For what number of rides will both spend the same amount?

Solution

solution:

suppose the no. of rides be x

cost of regular ride booklet= 10+0.5x

cost of caual commuter discount booklet= 4+0.25x

no. of rides for which amount of both is equal

10 + 0.5x=+0.25x

6= 0.25x

x=24 rides

hence total no. of 24 rides