Problema Solution

On ITunes, the album plans sells for $9.99 and the album codes and keys sells for $10.99. Both albums are by Death Cab for Cutie. If total sale o both albums in one month are 836 albums and total revenue of both album is $9059.64, how many of each album were sold?

Answer provided by our tutors

let


x = the number of the album Plans sold


y = the number of the album Codes and Keys sold


total sale of both albums in one month are 836 albums:


x + y = 836


the total revenue of both album is $9059.64:


9.99x + 10.99y = 9059.64


by solving the system of equations:


x + y = 836


9.99x + 10.99y = 9059.64


we find:


x = 128 albums


y = 708 albums


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128 from the albums "Plans" and 708 albums from the album "Codes and Keys" were sold.