Question

In one year a school uses 12,280 pieces of white paper 5,680 fewer pieces of blue paper per than white paper, and 2,400 fewer pipes of yellow paper than blue paper. How many pieces of paper does the school use in all? Can someone help me

Answer 1

number of pieces of white paper:12280

number of pieces of blue paper:6600

number of pieces of yellow paper:4200

total=23080 pieces of paper

Step-by-step explanation

Step 1

let

x represents the number of pieces of white paper

y represents the number of pieces of blue paper

z represents the number of pieces of yellow paper

then

In one year a school uses 12,280 pieces of white paper

`x=12280\text{ Eq(1)}`

5,680 fewer pieces of blue paper per than white paper( in other words you have to add 5680 to the number of blue paper to obtain the number of pieces of white paper)

`x=5680+y\text{ Eq(2)}`

and 2,400 fewer pipes of yellow paper than blue paper( in other words you have to add 2400 to the number of pieces of yellow paper(z) to obtain the number of pieces of blue paper

`y=2400+z\text{ Eq(3)}`

Step 2

isolate y in equation (2) and replace x (Eq 1) to find y

`\begin{gathered} x=5680+y \\ x-5680=y \\ y=x-5680 \\ y=12280-5680 \\ y=6600 \end{gathered}`

Step 3

Finally , replace y=6600 in equation (3) to find z

`\begin{gathered} y=2400+z \\ 6600=2400+z \\ 6600-2400=z \\ z=4200 \end{gathered}`

the total is = x+y+x

`\text{total}=12280+6600+4200=23080`

I hope this helps you