Question

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. *

Answer 1

5 assignment assigned each student

Explanation:

Answer 2

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