Question

Matthew earns $0.10 for each local newspaper he delivers twice a week. His brother earns $0.25 for delivering each Sunday newspaper. They deliver papers to the same number of houses and together they earn $13.95 per week. How many papers does each boy deliver each week?

A. Matthew: 62 papers; brother: 31 papers

B. Matthew: 58 papers; brother: 29 papers

C. Matthew: 66 papers; brother: 33 apers

D. Matthew: 50 papers; brother: 25 papers

Answer 1

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 =
`0.10*2=0.20`

His brother earns per newspaper = $0.25

So, equation becomes,

`0.20x+0.25x=13.95`

`0.45x=13.95`

`x=31`

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.