College

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

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

Answer :

To solve the problem, we need to find how many students are in all of the other grades besides third grade.

1. Understand the Problem Statement:
- The total number of students in the school is 764.
- Out of these, 118 students are in the third grade.
- We need to find the number of students in the other grades, which we will call [tex]\( s \)[/tex].

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

3. Rearrange the Equation to Solve for [tex]\( s \)[/tex]:
- We want to find [tex]\( s \)[/tex], the number of students not in the third grade.
- To isolate [tex]\( s \)[/tex], subtract 118 from both sides of the equation:
[tex]\[
s = 764 - 118
\][/tex]

4. Calculate the Answer:
- Perform the subtraction:
[tex]\[
764 - 118 = 646
\][/tex]
- Therefore, [tex]\( s = 646 \)[/tex].

5. Conclusion:
- The number of students in all of the other grades besides third grade is 646.
- The correct equation from the given choices that helps us find this number is: [tex]\( 118 + s = 764 \)[/tex], which is option 2.

So, the solution to the problem is that there are 646 students in all of the other grades, and option 2, [tex]\( 118 + s = 764 \)[/tex], is the equation that represents this situation.