Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 8
large boxes and 3 small boxes has a total weight of 193 kilograms. A delivery of 2
large boxes and 5 small boxes has a total weight of 112 kilograms. How much does each type of box weigh?

Answer 1

Answer:

The weight of large box x = 18.5 kg and weight of small box y= 15 kg

Step-by-step explanation:

Let x represents large boxes and y represents small boxes

our equations will be:

8x + 3y = 193    (i)

2x + 5y = 112     (ii)

By solving above equations we can find value of x and y

Multiply eq (ii) with 4

8x + 20 y = 448

Now subtracting eq (ii) from eq (i),

8x + 3y = 193

8x + 20 y = 448

-------------------------

     -17 y = -255

          y = -255 / -17

          y = 15

Now substituting value of y in eq (i)

8x + 3y = 193

8x + 3(15) = 193

8x + 45 = 193

8x  = 193 - 45

x = 148 / 8

x = 18.5