Question

A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 6 large boxes and 2 small boxes has a total weight of 122 kilograms. A delivery of 3 large boxes and 5 small boxes has a total weight of 86 kilograms. How much does each type of box weigh?

Answer 1

weight of large box = x kg=18.25kg

weight of small box =y kg=15.5kg

Explanation:

2 large boxes and 3 small boxes has a total weight of 83 kilograms.

2x+3y=83--------- eq 1

4 large boxes and 8 small boxes has a total weight of 197 kilograms.

4x+8y =197 -------eq 2

multiply eq 1 with -2

-4x-6y =-166

now add both equations

-4x-6y=-166

4x+8y=197

______________________

2y= 31

y=15.5

substitute value of y=17 in eq 1

2x+3y=83

2x+3(15.5)=83

2x+46.5=83

2x =36.5

x=18.25