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A fruit company delivers its fruit in two types of boxes: large and small. A delivery of 2 large boxes and 5 small boxes has a total weight of 96 kilograms.  A delivery of 8 large boxes and 3 small boxes has a total weight of 163 kilograms.  How much does each type of box weigh?

 May 1, 2016
 #1
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x=wt of small box     y = large box wt

  

First delivery 

    5x  + 2y = 96      solve for y = (96-5x)/2

  

Second Delivery

   8y + 3x = 163       Substitute for y

   8 ( ( 96-5x)/2 ) + 3x = 163       and solve for x

    384 - 20x +3x = 163

17x=221

x=13   =   small box wt   kg               y= (96-5x)/2 = large box wt = 15.5 kg

 May 1, 2016
 #2
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WOW!!! that is a lot of fruit 

 

I sure do hope that is it grapes and maybe apples

 

raise your hand if you want grapes and apples  ✋  ✋ ✋

 May 1, 2016

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