Question

6b + 4r represents the total cost of the rice and beans Gabriel bought. If he returns 2 bags of beans and 1 bag of rice, the expression that represents the total cost after the return is (6b + 4r) – (2b + r).

What is this expression after simplifying?

Answer 1

To simplify the expression \((6b + 4r) - (2b + r)\), we can first distribute the negative sign in front of the second set of parentheses:

\[
6b + 4r - 2b - r
\]

Next, we combine like terms:

- Combine the \(b\) terms: \(6b - 2b = 4b\)
- Combine the \(r\) terms: \(4r - r = 3r\)

Putting it all together, the simplified expression is:

\[
4b + 3r
\]