Answer:
Large Box = 15.25KG
Small Box = 13.25KG
Step-by-step explanation:
L = Large Box
S = Small Box
two large boxes and six small boxes has a total weight of 110 kg
2L + 6S = 110
five large boxes and three small boxes has a total weight of 116 kg
5L + 3S = 116
Make one of the coefficents [numbers] the same, in this case S.
2L + 6S = 110
10L + 6S = 232
Subtract the equations.
(10L + 6S = 232) - (2L + 6S = 110)
(10L - 2L) + (6S - 6S) = 232 - 110
8L = 122
L = 15.25
Substitute back into one of the equations to find S
2L + 6S = 110
2(15.25) + 6S = 110
30.5 + 6S = 110
6S = 110 - 30.5
6S = 79.5
S = 13.25
Substitute into the other equation
10L + 6S = 232
10(15.25) + 6(13.25) = 232
