Solving a word problem using a system of linear equations of the form Ax+Bx=C

Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 2 small boxes has a total weight of 112 kilograms. A delivery of 2 large boxes and 12 small boxes has a total weight of 115 kilograms. How much does each type of box weigh?

Answer 1

Let L = weight of large box

S = weight of small box

then,

5L + 2S = 112

and 2L + 12S = 115 Solving for the unknowns, we find that

L = 19.89 kg

S = 6.27 kg