An online music club has a one- time registration fee of $13.95 and charges $0.49 to buy each song. If Emma has $50.00 to join the club and buy songs, what is the maximum number of songs she can buy?

Respuesta :

Answer: 73 songs

Step-by-step explanation:

The online music club has a one- time registration fee of $13.95 and charges $0.49 to buy each song. Let x represent the number of songs that a member buys. This means that the amount that a member who just joins the music club pays for x songs would be

0.49x + 13.95

If Emma has $50.00 to join the club and buy songs, the maximum number of songs she can buy would be expressed as follows

0.49x + 13.95 = 50

0.49x = 50 - 13.95 = 36.05

x = 36.05/0.49 = 73.57

the maximum number of songs she can buy is 73 since the number of songs cannot be a fraction.

50.00 - 13.95 = 36.05 (subtract the registration fee)

36.05/0.49 =  73.57 so she can buy 73 songs