High School

Choose the correct algebraic expression that represents the word problem.

Michelle ate [tex]$g$[/tex] out of 57 grapes. How many grapes does she have left?

A. [tex]$57g$[/tex]
B. [tex]$g-57$[/tex]
C. [tex]$\frac{g}{57}$[/tex]
D. [tex]$57-g$[/tex]

Answer :

To solve this word problem, let's understand what is being asked.

Michelle originally had 57 grapes. She ate [tex]$g$[/tex] grapes out of those 57. The question asks how many grapes she has left after eating.

1. Identify the total number of grapes: Michelle started with 57 grapes.

2. Identify the number of grapes eaten: She ate [tex]$g$[/tex] grapes.

3. Calculate the number of grapes left: To find out how many grapes Michelle has left, you subtract the number of grapes she ate ([tex]$g$[/tex]) from the total number of grapes she started with (57).

So the algebraic expression that represents the number of grapes Michelle has left is:

[tex]\[ 57 - g \][/tex]

Thus, the correct answer is [tex]\(57 - g\)[/tex].