Question

a fruit company delivers its fruit in two types of boxes: large and small. A delivery of 2 large boxes and 3 small boxes has a total weight of 51 kilograms. A delivery of 6 parge boxes and 5 small boxes has a total weight of 127 kilograms. How much does each type of box weigh?

Answer 1

L= 15.75 kg

S=6.5 kg

Explanation:

Let L be the weight of a large box and S be the weight of a small box. So we can set up two equations:

2L + 3S = 51

6L + 5S = 127

Solve for L or S in one of the equations and substitute it into the other equation and find the other unknown.

2L = 51 - 3S

L = (51 - 3S)/2

6(51 - 3S)/2 + 5S = 197

153 − 9 S + 5 S = 127

− 4 S = − 26

S = 6.5 kg

L = (51 - 3(6.5))/2 = 15.75 kg

Plug them in to the original equations to see if they work.