The major connection between money and the music of the 1950s is that the music scene in this decade was driven by the fact that teens, for the first time, had a great deal of money to spend.
Because of post-war prosperity, teens had free time and had money to spend on entertainment. Music was a major form of entertainment and the music industry was eager to get some of that money. This led to the development of the new "rock and roll" music, derived from African American Rhythm & Blues (R&B), sung by white people like Elvis Presley. Because the money was there to be made by catering to white youth, record companies went out and found white people who could sing "black" music. They did this because that kind of music would be more acceptable when sung by white people.
The fact that white youth had so much money to spend on music influenced the rise of a sound (rock and roll) that took black music and toned it down and "whitened" it.