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 131 kilograms. A delivery of 6 large boxes and 2 small boxes has a total weight of 140 kilograms. How much does each type of box weigh?

Answer 1

Answer:

Large box weighs 18.25 kilograms

Small box weighs 15.25 kilograms

Step-by-step explanation:

A fruit company delivers its fruit in two types of boxes: large and small.

Let x = weight of large box.

Let y = weight of small box.

A delivery of 3 large boxes and 5 small boxes has a total weight of 131 kilograms. This means

3x + 5y = 131 - - - - - - - - - - -1

A delivery of 6 large boxes and 2 small boxes has a total weight of 140 kilograms.

This means 6x + 2y = 140 - - - - - - - 2

Solving equation 1 and equation 2 by elimination method,

Multiply equation 1 by 6 and equation 2 by 3

18x + 30y = 786

18x +6y = 420

24y = 366

y = 366/24 = 15.25

Put y = 15.25 in equation 1

3x + 5× 15.25 = 131

3x + 76.25 = 131

3x = 131 - 76.25

3x = 54.75

x = 54.75/3 = 18.25