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.

Question

(2b+3r)+(4b+r)
(1 point)
Responses

2b+r
2 b plus r

5b+5r
5 b plus 5 r

6b+4r
6 b plus 4 r

6b+2r

Answer 1

To simplify the expression \((2b + 3r) + (4b + r)\), you 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, you get:

\[ (2b + 3r) + (4b + r) = 6b + 4r \]

So the simplified expression for the total cost is \(6b + 4r\).

The correct response is:

6b + 4r