Question

A DVD box set includes 3 thriller movies and 2 comidies. Use t to represent the cost of each thriller and c to represent the cost of each comidy. Write and simplify an expression that represents the total cost of 6 boxes.

Answer 1

The expression representing the Total cost of 6 boxes is
`6(3t + 2c)`.

The Simplified expression representing the Total cost of 6 boxes is
`18t + 12c`.

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`

We need to find the total cost of 6 boxes

Total Cost of 6 boxes is =
`6(3t + 2c)`

Hence the expression representing the Total cost of 6 boxes is
`6(3t + 2c)`.

Simplifying the above expression we get;

Total Cost of 6 boxes is =
`6(3t + 2c)= 6*3t+6*2c=18t+12c`

Hence the Simplified expression representing the Total cost of 6 boxes is
`18t + 12c`.