Final answer:
Ian can buy a maximum of 46 songs.
Step-by-step explanation:
To calculate the maximum number of songs Ian can buy, we need to subtract the registration fee from the total amount of money he has. Ian has $50.00, and the registration fee is $17.50, so Ian has $50.00 - $17.50 = $32.50 left to spend on songs. Since each song costs $0.70, we can divide the remaining amount of money by the cost per song to find the maximum number of songs Ian can buy: $32.50 / $0.70 = 46.43. Since Ian cannot buy a fraction of a song, we round down to the nearest whole number. Therefore, the maximum number of songs Ian can buy is 46.