Question

Sam has a total of 40 dvds, movies and tv shows. The number of movies is 4 less then 3 times the number of tv shows. Write and solove a system of equations to find the number of movies and tv shows.

Answer 1

Answer:Sam has 29 movies.

Sam has 11 TV shows.

Explanation:

Let x represent the number of movies that Sam has.

Let y represent the number of TV shows that Sam has.

Sam has a total of 40 dvds, movies and tv shows. This means that

x + y = 40 - - - - - - - - - - -1

The number of movies is 4 less then 3 times the number of tv shows. This means that

x = 3y - 4 - - - - - - - - - - -2

Substituting equation 2 into equation 1, it becomes

3y - 4 + y = 40

4y - 4 = 40

4y = 40 + 4 = 44

y = 44/4 = 11

x = 3y - 4 = 3 × 11 - 4

x = 33 - 4

x = 29