Problema Solution
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms. A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms. How much does each type of box weigh?
Answer provided by our tutors
let
x = the wight of the large box
y = the weight of the small box
A delivery of 3 large boxes and 2 small boxes has a total weight of 73 kilograms.
3x + 2y = 73
A delivery of 8 large boxes and 4 small boxes has a total weight of 177 kilograms.
8x + 4y = 177
by solving the system of equations
3x + 2y = 73
8x + 4y = 177
we find
x = 15.5 kg
y = 13.25 kg
click here to see the step by step solution of the system of equations
the large box weights 15.5 kg.
the small box weights 13.25 kg.