Question

Denzel is coming web sites for downloading music. One charges a 50 membershy lee plus

160.50 per song. Another Charges & 1.00 per song but has no membership fee. Write and solve an equation to find how many songs Denzel would have to buy to spend the same amount at both web site

Answer 1

Question is not proper, Proper question is given below.

Denzel is comparing websites for downloading music. One charges a $5 membership fee plus $0.50 per song. Another charges $1.00 per song, but has no membership fee. Write and solve an equation to find how many songs Denzel would have to buy to spend the same amount at both websites.

Answer:

Denzel would have to buy 10 songs to spend the same amount at both websites.

Explanation:

Let the number of songs be 'x'.

Given:

One charges a $5 membership fee plus $0.50 per song.

So the total cost at one site will be membership cost plus charges per song multiplied by number of songs.

framing in equation form we get;

Total Cost at one site =
`5+0.5x`

Another website charges $1.00 per song, but has no membership fee.

So the total cost at Another site will be charges per song multiplied by number of songs.

framing in equation form we get;

Total Cost at Another site =
`1* x=1x`

To find the number of songs that results in same cost we should equate the two expression and solve.

`5+0.5x=x`

Combining like terms we get;

`5 = x-0.5x\\\\5=0.5x`

Now Dividing both side by 0.5 we get;

`(0.5x)/(0.5) = (5)/(0.5) \\\\x=10\ songs`

Hence Denzel would have to buy 10 songs to spend the same amount at both websites.