A dvd box set includes 5 comedies and 3 westerns. Use c to represent the cost of each comedy and w to represent the cost of each western. Write and simplify an expression that represents the cost of 4 box sets.
I came up with 4(5c + 3w) = 20c + 12w
Is that correct?
Yes.
Yes, your expression is correct. To explain how you arrived at the expression, let's break it down step by step:
The given information states that each DVD box set contains 5 comedies and 3 westerns.
So, the cost of one box set can be represented as 5c + 3w, where c represents the cost of each comedy and w represents the cost of each western.
To find the cost of 4 box sets, you multiply the cost of one box set by 4: 4(5c + 3w).
Expanding this expression, you distribute the 4 to both terms inside the parentheses: 4 * 5c + 4 * 3w.
Simplifying further, you get: 20c + 12w.
So, your expression 4(5c + 3w) = 20c + 12w is correct. It represents the cost of 4 box sets.