Question

A fruit company delivers its fruit in two types of boxes. large and small. A delivery of 3 large boxes and 5 small boxes has a total weight of 75 kilograms. A delivery of 9 large boxes and 7 small boxes has a total weight of 171 kilograms. How much does each type of box weight?

Answer 1

Answer: 15.5 kg

Step-by-step explanation: x=wt of small box y = large box wt

First delivery

5x + 2y = 96 solve for y = (96-5x)/2

Second Delivery

8y + 3x = 163 Substitute for y

8 ( ( 96-5x)/2 ) + 3x = 163 and solve for x

384 - 20x +3x = 163

17x=221

x=13 = small box wt kg y= (96-5x)/2 = large box wt = 15.5 kg