Question

Midtown barber shop conducts 112 haircuts per day. assume each barber works 8 hours per day and take the same amount of time to do a single haircut. if the barber shop's productivity is 2 haircuts per hour of labor, then how many barbers are employed by the barber shop?

Answer 1

Since each barber works 8 hours per day, it means that the barber shop conducts 112 haircuts in 8 hours. This means that it conducts

`\cfrac{112}{8} = 14`

cuts per hour. Every barber can conduct two haircuts per hour. This means that a generic number
`b` of barbers conducts
`2b` cuts per hour. But we already know that the shop conducts 14 cuts per hour, so the number of barbers is given by

`2b = 14 \iff b = \cfrac{14}{2} = 7`