Problema Solution

A truck is loaded with two different types of boxes. If 150 of box A and 115 of box B are loaded onto the truck, its capacity of 10 tonnes is reached. If 300 of box A are loaded, the truck can only take 30 of box B before the capacity of 10 tonnes is reached. Find the weight of each box

Answer provided by our tutors

let 'x' represent the weight of box A and 'y' the weight of box B


10 tonnes = 10*2000 = 20000 pounds


150A + 115B = 20000

300A + 30B = 20000

solving this system we have:

A = 56 2/3

B = 100


box A weighs 56 2/3 pounds, box B weighs 100 pounds