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ive 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. *

2 Answers

4 votes

Answer:

5 assignment assigned each student

Explanation:

User Lkkeepmoving
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4 votes

Answer:

The equation for the situation is:


5y+2=27

where
y 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.

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 =
y

If each student is assigned
y questions initially.

Then, 5 students was initially assigned =
5y 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:


5y+2

Total problems assigned = 27

Thus, we have:


5y+2=27

Solving for
y

Subtracting both sides by 2.


5y+2-2=27-2


5y=25

Dividing both sides by 5.


(5y)/(5)=(25)/(5)


y=5

Thus, each student was originally assigned = 5 questions

User Appsmatics
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