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

5b+5r
5 b plus 5 r

2b+r
2 b plus r

6b+2r
6 b plus 2 r

6b+4r

Answer 1

To simplify the expression \((2b + 3r) + (4b + r)\), we can combine like terms.

1. Combine the coefficients of \(b\):

   • From \(2b\) and \(4b\), we have \(2b + 4b = 6b\).

2. Combine the coefficients of \(r\):

   • From \(3r\) and \(r\), we have \(3r + r = 4r\).

Putting it all together: \[ (2b + 3r) + (4b + r) = 6b + 4r \]

Thus, the simplified expression is \(6b + 4r\).

Therefore, the correct response is: 6b + 4r.