Question

A fruit company delivers this fruit in two types of boxes large and small a delivery of two large boxes and 12 small boxes has a total weight of 105 kg a delivery of five large boxes and three small boxes has a total weight of 87 kg how much does each type of box weigh

Answer 1

weight of small box = 6.5 kg

weight of large box = 13.5 kg

Explanation:

let the weight of the small box = x and

weight of large box = y

according to the question

2y + 12x = 105 (1)

5y + 3x = 87 (2)

multiplying equation (2) by 4

20y + 12x = 348 (3)

subtracting equation (1) from equation (3)

20y + 12x = 348

2y + 12x = 105

- - = -

_____________

18y = 243

y = 243/18 = 13.5

substituting the value of y in equation (1)

2(13.5) + 12x = 105

12x = 105 - 27

12x = 78

x = 78/12 = 6.5

thus,

weight of small box, x = 6.5 kg

weight of the large box, y = 13.5 kg