Question

A fruit company delivers it's fruit into types of boxes large and small delivery of two large boxes and six small boxes has a total weight of 110 kg a delivery of five large boxes and three small boxes has a total weight of 116 kg how much does each type of box way

Answer 1

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