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a fruit company delivers its fruit in two types of boxes: large and small. A delivery of 6 large and 5 small boxes has a total weight of 190 kilo. A delivery of 2 large boxes and 3 small boxes has a total of 84 kilograms. how much does each type of box weigh

 May 19, 2021
 #1
avatar+119907 
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We  have  this  system

 

6L  +  5S   =  190       (1)

2L  +  3S   =   84     multiply  through  by -3  ⇒ -6L  - 9S   = -252   (2)

 

Add  (1)  and (2)    and  we  get  that

-4S   =  -62

S = -62  / -4     =   15.5  kilos  for  a small box  

 

And

 

2L  +  3S  =  84

2L  + 3 (15.5)  =  84

2L  =  46.5   =  84

2L  =  84  - 46.5

2L  = 37.5

L = 37.5 /2    =  18.75  kilos  for a large box

 

cool cool cool

 May 19, 2021

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