Answer:
The expression representing the Total cost of 6 boxes is
.
The Simplified expression representing the Total cost of 6 boxes is
.
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 = ![3t + 2c](https://tex.z-dn.net/?f=3t%20%2B%202c)
We need to find the total cost of 6 boxes
Total Cost of 6 boxes is = ![6(3t + 2c)](https://tex.z-dn.net/?f=6%283t%20%2B%202c%29)
Hence the expression representing the Total cost of 6 boxes is
.
Simplifying the above expression we get;
Total Cost of 6 boxes is = ![6(3t + 2c)= 6\times3t+6\times2c=18t+12c](https://tex.z-dn.net/?f=6%283t%20%2B%202c%29%3D%206%5Ctimes3t%2B6%5Ctimes2c%3D18t%2B12c)
Hence the Simplified expression representing the Total cost of 6 boxes is
.