High School

A school has 764 students. Of these students, 118 are in third grade. Which equation can be used to find [tex]$s$[/tex], the total number of students in all the other grades?

A. [tex]118 + s = 764[/tex]
B. [tex]s - 118 = 764[/tex]
C. [tex]764 + 118 = s[/tex]
D. [tex]s - 764 = 118[/tex]

Answer :

To solve the problem of finding the total number of students in all the other grades besides third grade, we need to identify the correct equation and use it to determine the value of [tex]\( s \)[/tex].

1. Understand the Given Information:
- Total number of students in the school: 764
- Number of students in the third grade: 118

2. Identify What You Need to Find:
- We need to find [tex]\( s \)[/tex], which represents the number of students in all the other grades.

3. Set Up the Equation:
- We know the total number of students (764) is the sum of the third-grade students (118) and the students in all other grades ([tex]\( s \)[/tex]).
- This relationship can be expressed with the equation:
[tex]\[
118 + s = 764
\][/tex]

4. Solve for [tex]\( s \)[/tex]:
- To find [tex]\( s \)[/tex], subtract the number of third-grade students (118) from the total number of students (764):
[tex]\[
s = 764 - 118
\][/tex]

5. Calculate the Result:
- Perform the subtraction:
[tex]\[
s = 646
\][/tex]

The equation that can be used is [tex]\( 118 + s = 764 \)[/tex], and after solving it, the number of students in all the other grades is 646.