Question

An online music company offers 15 downloads for $19.75 and 40 downloads for $43.50. Each price includes the same one-time registration fee. What is the cost of each download and the registration fee?

Answer 1

Let

x-------> the cost of registration fee

y------> the cost of each download

we know that

19.75=x+15y-------> equation 1

43.50=x+40y ------> equation 2

Subtract equation 1 from equation 2

43.5-19.75=40y-15y

23.75=25y

y=23.75/25--------> y=$0.95

Find the value of x

19.75=x+15y-------> equation 1

19.75=x+15*0.95

x=19.75-14.25------> x=$5.5

therefore

the answer is

the cost of registration fee is $5.5

the cost of each download is $0.95

Explanation:

Answer 2

Let

x-------> the cost of registration fee

y------> the cost of each download

we know that

19.75=x+15y-------> equation 1

43.50=x+40y ------> equation 2

Subtract equation 1 from equation 2

43.5-19.75=40y-15y

23.75=25y

y=23.75/25--------> y=$0.95

Find the value of x

19.75=x+15y-------> equation 1

19.75=x+15*0.95

x=19.75-14.25------> x=$5.5

therefore

the answer is

the cost of registration fee is $5.5

the cost of each download is $0.95