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

6b+4r
6 b plus 4 r

5b+5r

Answer 1

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

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

   • \(2b + 4b = 6b\)

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

   • \(3r + r = 4r\)

Putting it all together, we have: \[ 6b + 4r \]

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

The correct response is: 6b + 4r.

Answer 2

are you sure bout that?

Answer 3

Yes, I am confident about that. Let's go through the simplification step again to ensure clarity:

We start with the expression: \[ (2b + 3r) + (4b + r) \]

Now, we can group like terms:

1. For the terms with \(b\):

   • \(2b\) from the first group and \(4b\) from the second group.
   • Combining these gives: \(2b + 4b = 6b\).

2. For the terms with \(r\):

   • \(3r\) from the first group and \(r\) from the second group.
   • Combining these gives: \(3r + r = 4r\).

Putting these combined terms together, we have: \[ 6b + 4r \]

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

If you have any doubts or would like further clarification, please let me know!