Manuela has a total of 40 DVD's of movies and TV shows. The number of movies is 4 less than 3 times the number of television shows.Write and solve a system of equations to find the number of movies...
Manuela has a total of 40 DVD's of movies and TV shows. The number of movies is 4 less than 3 times the number of television shows.
Write and solve a system of equations to find the number of movies and TV shows she has on DVD
1 Answer
jeew-m | College Teacher | (Level 1) Educator Emeritus
Let;
The number of TV shows = x
The number of movies = y
It is given that;
The number of movies is 4 less than 3 times the number of television shows.
`y = 3x-4`
If you rearrange this;
`y-3x = -4` -----(1)
Also we know that;
`x+y = 40 ` ----(2)
(2)-(1)
`4x = 44`
` x = 11`
From (2);
`y = 40-11 = 29`
The number of TV shows = 11
The number of movies = 29