Question

A delivery of 2 large boxes and 5 small boxes has a total of 112 kilograms .a delivery of 8 large boxes and 3 small boxes has a total weight of 193 kilograms, how much does each type of box weigh

Answer 1

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

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

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-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