Answer:
[tex]c=\frac{82}{3}-\frac{4}{3}d[/tex]
Step-by-step explanation:
1) Set up an equation
Let c be the number of CDs Nakisa bought.
Let d be the number of DVDs Nakisa bought.
[tex]328=12c+16d[/tex]
Explanation: Each CD costs $12 and each DVD costs $16. Nakisa spent $328 altogether, which means $12c+$16d is equal to $328.
The question is asking for the number of CDs that Nakisa bought, so our goal is to isolate c in the equation above.
2) Isolate c
[tex]328=12c+16d[/tex]
Subtract both sides by 16d
[tex]328-16d=12c+16d-16d\\328-16d=12c[/tex]
Divide both sides by 12
[tex]\frac{328-16d}{12}=\frac{12c}{12} \\\frac{82}{3}-\frac{4}{3}d=c[/tex]
[tex]c=\frac{82}{3}-\frac{4}{3}d[/tex]
I hope this helps!
