Jack and Jim sign up with an online music store. Jack chooses 15 downloads for $19.75, and Jim chooses 40 downloads for $43.50. Both amounts include a one-time registration fee, which is the same for each account, plus the fee for the number of downloads. What is the registration fee, and what is the cost of each download?
let cost of one download be x$.
for 15 downloads it will be 15x
for 40 downloads it will be 40x
so let registration fee be a$
for jack it costs 19.75$ which is registration free +15 downloads price.
for jim, it will be a+40x=43.50
by solving we get a=5.5$ and x=0.95$
registration fee a=5.5$$ and cost of each download x=0.95$