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PLEASE HELP
A delivery truck is transporting boxes of two sizes: large and small. The large boxes weigh 60 pounds each, and the small boxes weigh 35 pounds each. There are 110 boxes in all. If the truck is carrying a total of 5100 pounds in boxes, how many of each type of box is it carrying?

Number of large boxes:

Number of small boxes:

Respuesta :

Let x=large boxes and y=small boxes.

x+y=110

60x+35y=5100

____________

You need to cancel out one of the variables to solve for one. Let's cancel out y.

-35(x+y=110)


-35x-35y=-3850

60x+35y=5100

____________

Add the two equations.

25x=1250

x=50

_____________

Plug in 50 for x into one of the equations to solve for y.

50+y=110

y=60

_____________

50 large boxes

60 small boxes

legomyego180

Set up a system of equations.


x+y=110

35x + 50y = 5100


Solve for a variable:

y=110-x


Plug this back into the other equation

35x + 50(110-x)=5100

Solve

35x + 5500 - 50x = 5100

-15x = -400

X = 26.66


Plug that into first equation to solve for y:


X+y=110

26.6+y=110

Y=110-26.6

Y=83.4


26.6 small boxes, 83.4 large

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