Problema Solution

Jack and Jim sign up with an online music store. Jack chooses 15 downloads for $19.75, and Jim chooses 40 downloads for $43.50. Both amounts include a one-time registration fee, which is the same for each account, plus the fee for the number of downloads. What is the registration fee, and what is the cost of each download?

Answer provided by our tutors

let


x = the registration fee


y = the cost of each download


Jack chooses 15 downloads for $19.75:


x + 15y = 19.75


Jim chooses 40 downloads for $43.50:


x + 40y = 43.50


by solving the system of equations:


x + 15y = 19.75


x + 40y = 43.50


we find:


x = $5.5


y = $0.95


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the registration fee is $5.5.


the cost of each download is $0.95.