Since the weight of the empty truck and its driver is 4500 pounds and each box weighs 14 pounds, the weight, in pounds, of the delivery truck, its driver, and x boxes is 4500+14x. This weight is below the bridge’s posted weight limit of 6000 pounds if 4500+14x<6000. That inequality is equivalent to14x≤1500 or x<
1500
14
=107
1
7
.Since the number of packages must be an integer, the maximum possible value for x that will keep the combined weight of the truck, its driver, and the x identical boxes below the bridge’s posted weight limit is 107.