Matthew earns $.10 for each local newspaper he delivers twice a week. His brother earns $.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? what is the answer?

Respuesta :

Matthew delivers 1 and 3.95.Matt's brother delivers a quarter of one.

For this case, the first thing we must do is define a variable.
 x: number of newspapers sold per week.
 We now write the equation for the total of newspapers.
 We have then:
 [tex]0.10 (2x) + 0.25x = 13.95 [/tex]
 Rewriting we have:
 [tex]0.20x + 0.25x = 13.95 0.45x = 13.95 x = 13.95 / 0.45 x = 31[/tex]
 For Mattthew we have:
 [tex]2x = 2 (31) = 62 [/tex]
 For his brother:
 [tex]x = 31 [/tex]
 Answer:
 
each boy delivers each week about:
 
Mattthew: 62
 
His brother: 31