Answer:
The expression representing the Total cost of 6 boxes is [tex]6(3t + 2c)[/tex].
The Simplified expression representing the Total cost of 6 boxes is [tex]18t + 12c[/tex].
Step-by-step explanation:
Given:
Number of thriller movies = 3
Number of Comedy movies = 2
Let the cost of thriller movie be t
Also Let the cost of comedy movie be c
Total Number of boxes = 6
Now, given a DVD box set includes 3 thriller movies and 2 comedies.
Cost of Each box = [tex]3t + 2c[/tex]
We need to find the total cost of 6 boxes
Total Cost of 6 boxes is = [tex]6(3t + 2c)[/tex]
Hence the expression representing the Total cost of 6 boxes is [tex]6(3t + 2c)[/tex].
Simplifying the above expression we get;
Total Cost of 6 boxes is = [tex]6(3t + 2c)= 6\times3t+6\times2c=18t+12c[/tex]
Hence the Simplified expression representing the Total cost of 6 boxes is [tex]18t + 12c[/tex].
