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
[tex] \cfrac{112}{8} = 14 [/tex]
cuts per hour. Every barber can conduct two haircuts per hour. This means that a generic number [tex] b [/tex] of barbers conducts [tex] 2b [/tex] cuts per hour. But we already know that the shop conducts 14 cuts per hour, so the number of barbers is given by
[tex] 2b = 14 \iff b = \cfrac{14}{2} = 7 [/tex]
