Answer:
the equation that represents this situation is:
2S + 8 = 3S - 11
This equation can be used to find how many students are in the class.
Step-by-step explanation:
Let's denote the total number of students in the class as S.
If each student were to receive two sheets of paper, then the total number of sheets distributed would be 2S. Since 8 sheets are remaining, the total number of sheets is 2S + 8.
Similarly, if each student were to receive three sheets of paper, then the total number of sheets distributed would be 3S. Since the teacher is 11 sheets short in this scenario, the total number of sheets is 3S - 11.
Therefore, the equation that represents this situation is:
2S + 8 = 3S - 11
This equation can be used to find how many students are in the class.
Answer:
2x + 8 = 3x - 11
Step-by-step explanation:
Let x be the number of students in the class.
We are told that if each student got two sheets, there would be 8 sheets remaining. Therefore, the total number of sheets can be represented by the expression:
[tex]2x + 8[/tex]
We are told that if three sheets were given to each student, the teacher would be 11 sheets short. Therefore, the total number of sheets can be represented by the expression:
[tex]3x - 11[/tex]
As each expression represents the total number of sheets of paper, we can equate the expressions, then solve the equation for x to find out how many students are in the class:
[tex]2x + 8 = 3x - 11\\\\2x + 8 + 11 = 3x - 11 + 11\\\\2x + 19 = 3x\\\\2x + 19 - 2x = 3x - 2x\\\\19 = x[/tex]
Therefore, there were 19 students in the class.
So, the equation that could be used to find how many students are in the class is
[tex]\Large\boxed{\boxed{2x + 8 = 3x - 11}}[/tex]
