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 expre

Question

2 years ago

11

ssion that represents the total cost after the return is (6b 4r) – (2b r). What is this expression after simplifying?.

1 answer:

Olin [163] · Answer 1 · 2022-11-26T06:56:36+03:00

The Gabriel expression after simplifying for the price of 2 bags of beans and 1 bag of rice is,

$2b+r$

<h3>How to write algebraic expression? </h3>

Algebraic expression are the expression which consist the variables, coefficients of variables and constants.

The algebraic expression are used represent the general problem in the mathematical way to solve them.

The expression which represent the total cost of the rice and beans Gabriel bought is,

$C=6b+4r$

Now Gabriel returns 2 bags of beans and 1 bag of rice.The expression which represent that represents the total cost after the return is,

$C_r=(6b +4r) -(2b+r).$

Thus the cost of 2 bags of beans and 1 bag of rice which Gabriel return, is the difference of initial cost and the final cost.

Thus, the expression for 2 bags of beans and 1 bag of rice is,

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

Open the bracket to simplify the expression as,

$C=6b+4r-6b-4r+2b+r\\C=2b+r$

Thus the Gabriel expression after simplifying for the price of 2 bags of beans and 1 bag of rice is,

$2b+r$

Learn more about the algebraic expression here;