6b+4r represents the total cost of the rice and beans Gabriel bought. If he returns 2 bags of beans and 1 bag of rice, the expression that represents the total cost after the return is (6b+4r)−(2b+r). Simplify the expressionb+ r

Answer 1

To simplify the expression \( (6b + 4r) - (2b + r) \), we can start by distributing the negative sign across the second set of parentheses:

\[ (6b + 4r) - (2b + r) = 6b + 4r - 2b - r \]

Next, we can combine like terms:

1. Combine the \( b \) terms: \( 6b - 2b = 4b \)
2. Combine the \( r \) terms: \( 4r - r = 3r \)

Putting it all together, we have:

\[ 4b + 3r \]

So, the simplified expression for the total cost after returning 2 bags of beans and 1 bag of rice is:

\[ 4b + 3r \]