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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 5 large boxes and 6 small boxes has a total weight of 160 kilograms. A delivery of 3 large boxes and 2 small boxes has a total weight of 74 kilograms. How much does each type of box weigh?

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Answer:

Small Box = 13.75 kg

Large Box = 15.5 kg

Step-by-step explanation:

x=wt of small box     y = large box

First delivery

   6x  + 5y = 160      solve for y = 32 - (6/5x)

Second Delivery

  3y + 2x = 74       Substitute for y

  3(32 - (6/5x)) + 2x = 74       and solve for x

   96 - (18/5x) +2x = 74

     

     x = 13.75

x = 13.75 = small box kg               y = 32 - (6/5x) = large box = 15.5 kg

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