Answer:
The number of cd singles that were sold is 11
The number of cd albums that were sold is 14
Step-by-step explanation:
Given as :
The price for each cd singles = $6.99
The price for each cd albums = $10.99
The Total number of cd's sold on day = 25
The total sales amount of both cd's = $230.75
Let The numbers of cd singles = s
And The number of cd albums = a
Now, According to question
The total sales amount of both cd's = The price for each cd singles × The numbers of cd singles + The price for each cd albums × The number of cd albums
So, $6.99 × s + $10.99 × a = $230.75 .................A
And s + a = 25 ..................B
Now, solving eq A and B
I.e ( $6.99 × s + $10.99 × a ) - $6.99 × ( s + a ) = $230.75 - $6.99 × 25
Or, ( $6.99 × s - $6.99 × s ) + ( $10.99 × a - $6.99 a ) = $230.75 - $174.75
Or, 0 + 4 × a = 56
∴ a =
I.e a = 14
So, the number of cd albums = a = 14
Now, put the value of a in Eq B
I.e s + a = 25
Or, s = 25 - a
Or, s = 25 - 14
∴ s = 11
So, the number of cd singles = s = 11
Hence, The number of cd singles that were sold is 11 and The number of cd albums that were sold is 14 . Answer