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 website allows users to download individual songs or an entire album. All individual songs cost the same to download, and all albums cost the same to download. Ryan pays $14.94 to download 5 individual songs and 1 album. Seth pays $22.95 to download three individual songs and two albums. How much does the website charge to download a song? 

 Feb 25, 2020

Best Answer 

 #2
avatar+111433 
+1

Let S  = cost to download a  song  and A  = cost to  download an album

 

We have this system

 

5S  + 1A =  14.94   ⇒    A  = 14.94   - 5S       (1)

3S  +  2A =  22.95                  (2)

 

 

Sub  (1) into (2)   for    A  and we  have  that

 

3S  + 2 [ 14.94  - 5S   ]=   22.95      simplify

 

3S  + 29.88 - 10S   = 22.95

 

-7S + 29.88 =  22.95          subtract  29.88 from  both  sides

 

-7S = -6.73    divide  both  sides  by  7

 

S  = .99    = cost to  download a song

 

 

cool cool cool

 Feb 25, 2020
 #2
avatar+111433 
+1
Best Answer

Let S  = cost to download a  song  and A  = cost to  download an album

 

We have this system

 

5S  + 1A =  14.94   ⇒    A  = 14.94   - 5S       (1)

3S  +  2A =  22.95                  (2)

 

 

Sub  (1) into (2)   for    A  and we  have  that

 

3S  + 2 [ 14.94  - 5S   ]=   22.95      simplify

 

3S  + 29.88 - 10S   = 22.95

 

-7S + 29.88 =  22.95          subtract  29.88 from  both  sides

 

-7S = -6.73    divide  both  sides  by  7

 

S  = .99    = cost to  download a song

 

 

cool cool cool

CPhill Feb 25, 2020

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