Question

One week, Gabriel bought 2 bags of beans and 3 bags of rice. The next week, he bought 4 bags of beans and 1 bag of rice. Let b represent the cost of each bag of beans and r represent the cost of each bag of rice. Simplify the expression for the total cost, shown below.

(2b + 3r) + (4b+ r)

2b + r
5b + 5r
6b + 2r
6b + 4r

Answer 1

To simplify the expression for the total cost, we need to combine the costs from both weeks.

The expression given is:

\[
(2b + 3r) + (4b + r)
\]

Now, we can combine like terms:

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

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

Putting it all together, we get:

\[
6b + 4r
\]

So the simplified expression for the total cost is:

\[
\boxed{6b + 4r}
\]