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

6b+2r
6 b plus 2 r

2b+r
2 b plus r

5b+5r
5 b plus 5 r

6b+4r

Answer 1

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

1. Start with the original expression: \[ (2b + 3r) + (4b + r) \]

2. Rearranging the terms gives: \[ 2b + 3r + 4b + r \]

3. Now, combine the \(b\) terms and the \(r\) terms:

   • For the \(b\) terms: \(2b + 4b = 6b\)
   • For the \(r\) terms: \(3r + r = 4r\)

4. Putting it all together: \[ 6b + 4r \]

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