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)


(1 point)
Responses

2b+r
2 b plus r

6b+4r
6 b plus 4 r

5b+5r
5 b plus 5 r

6b+2r

1 answer

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

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

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

Putting them together, the simplified expression is: \[ 6b + 4r \]

So, the correct response is: 6b + 4r (6 b plus 4 r)