Baker produces x loaves of bread. x+4 loaves per day=<100. x-4 loves per day=>80loaves. Find all values of x.

Question

A baker produces X loaves of bread per day. If she produces more than x+4 loaves per day, then more than 100 loaves will be made in 5 days. If she produces x-4 loaves per day, then less than 80 loaves will be made in 5 days. Find all possible values of x.

Answer 1

100 loaves in 5 days is 20 loaves per day, so x+4>20 and x>16.

80 loaves in 5 days is 16 loaves per day, so x-4<16 and x<20.

Therefore 16<x<20 that is the number of loaves is between 16 and 20, so x=17, 18 or 19.