Three children deliver all the newspapers In a small town. Cameron delivers twice as many papers as Bryan, who delivers 150 more papers than Nate. If a total of 1450 papers are delivered, how many papers does each child deliver?

Respuesta :

So let's set the variables:

Nate: x

Bryan: x + 150

Cameron 2(x + 150)

If the total amount of papers delivered was 1450, we can then set all of this equal to 1450 and solve for x:

[tex] x+ (x+150)+2(x+150)=1450 [/tex]

[tex] x+(x+150)+2x +300=1450 [/tex]

[tex] 4x+450=1450 [/tex]

[tex] 4x=1000 [/tex]

[tex] x=250 [/tex]

So now we can solve for how many papers each child delivered:

Nate: 250

Bryan: (x + 150) = 250 + 150 = 400

Cameron: 2(x + 150) = 2(250 + 150) = 2(400) = 800