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The total weight of a box, 20 plates and 30 cups is 4.8 kg. The total weight of the box, 40 plates and 50 cups is 8.4 kg. What is the total weight of the box, 10 plates and 20 cups?

 Nov 20, 2019
 #1
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+1

3kg hope this helps 

 Nov 20, 2019
 #2
avatar+105370 
+1

20P  + 30C  = 4.8

40P + 50C  =  8.4

 

Multiply the first equation by -2   add to the first   and we have

 

-40P - 60C  = - 9.6

40P  + 50C  =  8.4

_________________

          -10C  = -1.2            divide both sides by -10

 

C  = 1.2 / 10   =  .12

 

And using  20P + 30C  = 8.4

 

20 P + 30 (.12)  = 4.8

20 P + 3.6  =  4.8 subtract 3.6 from both sides

20P  = 1.2     divide both sides  by 20

P = 1.2 / 20  = .6 / 10   =  .06

 

So

 

10P  + 20C  =

 

10 ( .06)  + 20 (.12)  =

 

.6  +  2.4  = 

 

3  kg

 

 

cool cool cool

 Nov 20, 2019
 #3
avatar+10795 
+1

What is the total weight of the box, 10 plates and 20 cups?

laugh

 Nov 20, 2019

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