Let the number of houses the boys deliver newspaper = x
Matthew delivers 2x newspapers
His brother delivers x newspapers,
Matthew earns per paper = $0.10
Matthew delivers twice a week so he earns = [tex]0.10\times2=0.20[/tex]
His brother earns per newspaper = $0.25
So, equation becomes,
[tex]0.20x+0.25x=13.95[/tex]
[tex]0.45x=13.95[/tex]
[tex]x=31[/tex]
So, there are 31 houses where both these boys deliver newspapers.
Hence, Matthew delivers 2*31= 62 newspapers
His brother delivers 31 newspapers.
So, option A : Matthew: 62 papers; brother: 31 papers is the right option.