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Svetradugi [14.3K]
2 years ago
13

A delivery truck Is transporting boxes of two sizes: large and small. The large boxes weigh 45 pounds each, and the small boxes

weigh 35 pounds each. There
are 120 boxes in all. If the truck is carrying a total of 4850 pounds in boxes, how many of each type of box is it carrying?
Mathematics
1 answer:
Mamont248 [21]2 years ago
5 0

So there would be two equations

120=x+y

and

4850=45x+35y

We can now solve for each variable

y=120-x

plug it into the second equation...

4850=45x+35(120-x)

4850=45x+4200-35x

650=10x

x=65

Now plug in X

y=120-65

y=55

They are carrying 65 big boxes and 55 small boxes.

Check

---------

120=y+x

120=55+65

120=120

Brainliest/Heart would help!

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Solving the algebraic equations given, the missing numbers in the boxes can be known as shown in the steps below.

Given the equation, ⅔(x - 1) = ⅕(2x - 3) + 1

First, apply the distribution property to open the bracket.

Thus:

⅔x - ⅔ = ⅖x - ⅗ + 1

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