Guitar or Violin

Difficulty: Hard · Topics: Discrete Mathematics, Sets, Word Problems

In a group of 44 people there are people who can play the guitar or the violin, and people who can play neither. Everyone who can play the violin can also play the guitar.

The number of people who cannot play the violin is 3 times the number of people who can play the guitar, and the number of people who can play neither instrument is 4 times the number of people who can play both.

How many people in this group can play the guitar?