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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 4 large boxes and 8 small boxes has a total weight of 125 kilograms. A delivery of 2 large boxes and 3 small boxes has a total weight of 57 kilograms. How much does each type of box weigh?

User Beginh
by
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1 Answer

4 votes

Answer:

weight of large box = x kg=18.25kg

weight of small box =y kg=15.5kg

Explanation:

weight of large box = x kg

weight of small box =y kg

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

weight of large box = x kg=18.25kg

weight of small box =y kg=15.5kg

hope this helps :)

User Sharas
by
5.2k points