Problema Solution
A tractor-trailer is to carry cartons and boxes. The cartons and boxes are different sizes, but all the cartons are the same size and all the boxes are the same size. When full, the trailer can carry 24 cartons and 20 boxes. When half full, the trailer can carry 6 cartons and 13 boxes. If the trailer is to carry only cartons or only boxes, how many of each can it carry?
Answer provided by our tutors
let
c = the volume of 1 carton / the total volume of the trailer
b = the volume of 1 box / the total volume of the trailer
24c + 20b = 1
6c + 13b = 1/2
by solving the above system of equations we find
c = 0.03125
b = 0.015625
click here to see the step by step solution of the system of equations
if the trailer carries cartons only the number will be 1/ 0.03125 = 32 cartons
if the trailer carries boxes the number will be 1/0.015625 = 64 boxes