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A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 55 pounds each, and the small boxes weigh 30 pounds each. There are 110 boxes in all. If the truck is carrying a total of 4800 pounds in boxes, how many of each type of box is it carrying?

 Mar 25, 2020
 #1
avatar+1970 
+1

x= the number of 55 lb boxes

130-x=the number of 35 lb boxes.

 

55x+4550-35x=5950
20x=1400
x=70
130-70=60

 

Hoped this helped!

 Mar 25, 2020
 #2
avatar+111330 
+1

Let   N  be  the  number of  55 lb boxes

 

Then  110 - N = the number of  30  lb boxes

 

So  we  have  that

 

55N + 30 (110 - N)  = 4800      simplify

 

55N  +  3300 - 30N  = 4800

 

25N  +  3300  =  4800   subtract 3300 from both sides

 

25N  = 1500   divide both sides by  25

 

N = 60  =  number  of 55 lb boxes

 

110 - N  =  110 - 60 =  50  = number of 30 lb boxes

 

cool cool cool

 Mar 25, 2020

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