Question

6r + 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). Simplify the expression

_b + _r

Answer 1

To simplify the expression \((6b + 4r) - (2b + r)\), we start by distributing the negative sign across the second set of parentheses:

\[
(6b + 4r) - (2b + r) = 6b + 4r - 2b - r
\]

Next, we combine like terms:

1. Combine the terms with \(b\):
\[
6b - 2b = 4b
\]

2. Combine the terms with \(r\):
\[
4r - r = 3r
\]

Now, we put it all together:

\[
4b + 3r
\]

So, the simplified expression is:

\[
\boxed{4b + 3r}
\]