Question

Mr. Myers wants to join a music club. The 1st choice music club charges a $5 sign-up fee and $1 each song. The Superstar music club charges no sign-up fee and charges $3.50 each song. After how many songs will the cost of the music clubs be equal? 1st choice Music Equation: ______ Superstar Music Club Equation: ______ Solution: _____ This was due yesterday and I'm having trouble with this stuff, I'm in advanced math but my teacher moves way too quickly, I would appreciate it if you could help me out.

Answer 1

1st choice Music Equation:
`\$(x+5)`

Superstar Music Club Equation:
`\$3.50x`

Solution: 2

Explanation:

Given that:

1st choice music club:

Charges for one song = $1

Charges for sign - up = $5

Let the number of songs =
`x`

Total cost =
`\$5+\$1* x = \$(x+5)`

Superstar music club:

No sign up fee and

Charges for one song = $3.50

Total cost =
`\$3.50x`

Given that, cost of each music club becomes equal:

Putting them same:

`x+5=3.5x\\\Rightarrow 2.5x = 5\\\Rightarrow \bold{x =2}`

After 2 songs, the cost of both the clubs will become equal.