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.

Question

Simplify the expression for the total cost, shown below.
(2b + 3r) + (4b+r)

A. 5b + 5r
B. 2b + r
C. 6b + 4r
D. 6b + 2r

Answer 1

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

First, we distribute the addition:

$$(2b+3r)+(4b+r)=2b+3r+4b+r$$

Next, we group the terms involving $b$ and the terms involving $r$:

$$(2b+4b)+(3r+r)$$

Now we can combine the coefficients:

$$6b+4r$$

Thus, the simplified expression is:

C. 6b + 4r.