Afruit company delivers its fruit in two types of boxes: large and small. a delivery of 2 large boxes and 3 small boxes has a total weight of 47 kilograms. a delivery of 6 large boxes and 5 small boxes has a total weight of 115 kilograms. how much does each type of box weigh?

The weight of large box = 13.75 kilograms

the weight of small box = 6.5 kilograms

Step-by-step explanation:

Given:

delivery of 2 large boxes and 3 small boxes has a total weight of 47 kilograms

delivery of 6 large boxes and 5 small boxes has a total weight of 115 kilograms.

Let x be the weight of large box

and y be the weight of small box

Make equation from the given information

2(weight of large box) + 3(weight of small box) = 47

2x + 3y = 47 > equation 1

Do the same and make one more equation

6x + 5y = 115> equation 2

Now we solve both equation using elimination method

Multiply the first equation by 3

6x + 9y = 141

6x + 5y = 115  (subtract both equations)

      4y = 26

divide both sides by 4

So y= 6.5

Now plug in 6.5 for y  and find out x

2x+3y = 47

2x + 3(6.5) = 47

2x + 19.5 = 47  (subtract 19.5 on both sides)

2x = 27.5

divide both sides by 2

x = 13.75

The weight of large box = 13.75 kilograms

the weight of small box = 6.5 kilograms

answer: i'm not sure

step-by-step explanation: