Respuesta :
Answer:
The equation for the situation is:
[tex]5y+2=27[/tex]
where [tex]y[/tex] represents the number of questions initially assigned to each student by the teacher.
On solving, we find that 5 questions were originally assigned to each student by the teacher.
Step-by-step explanation:
Question:
Five students came for after-school tutoring. Priya’s teacher assigned each of them the same number of problems to complete. Then she assigned 2 more problems to one of the students. 27 problems were assigned in all. Use y as the variable. Write an equation for the situation. Then, find the number of problems originally assigned to each by the teacher.
Given:
Total number of students = 5
Total problems assigned = 27
To find the number of problems originally assigned by the teacher.
Solution:
Let the number of problems originally assigned by the teacher to each student be = [tex]y[/tex]
If each student is assigned [tex]y[/tex] questions initially.
Then, 5 students was initially assigned = [tex]5y[/tex] questions
The teacher then assigned 2 more problems to one of the students.
So, the total number of questions now assigned will be given as:
⇒ [tex]5y+2[/tex]
Total problems assigned = 27
Thus, we have:
[tex]5y+2=27[/tex]
Solving for [tex]y[/tex]
Subtracting both sides by 2.
[tex]5y+2-2=27-2[/tex]
[tex]5y=25[/tex]
Dividing both sides by 5.
[tex]\frac{5y}{5}=\frac{25}{5}[/tex]
∴ [tex]y=5[/tex]
Thus, each student was originally assigned = 5 questions
