Question 1145871: The album The Best of Radiohead, by Radiohead, has a list price of $17. 45, and the album The King of Limbs, by Radiohead, has a list price of $9. 45. If iTunes' total sales of both albums in one week is 250 albums and the total revenue of both albums in that week is $2746. 50, how many of each album were sold?
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! Let's call The best of Radiohead by the variable b
and the other by the var k
We will need two equations for two unknowns b and k
one equation for the number of albums sold and one for the prices
b+k=250
17.45*b+9.45*k=2746.50
b=250-k
17.45*(250-k)+9.45*k=2746.50
4362.5-17.45*k+9.45*k=2746.50
4362.5-8*k=2746.50
4362.5-2746.50=8*k
1616=8k
k=202
b+k=250
b+202=250
b=48
check
17.45*b+9.45*k=2746.50
17.45*48+9.45*202=2746.50
837.6+1908.9=2746.50
2746.5=2746.50
ok
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