Question

Some students are sharing pens among themselves. If each gets 5, no pens will be left. If each gets 3, 12 pens will be left. How many students are there?​

Answer 1

Answer:

6 students

Step-by-step explanation:

Let x = number of students

Let y = total number of pens

Given:

• If each student gets 5 pens, no pens will be left

⇒ 5x = y

Given:

• If each students gets 3, 12 pens will be left.

⇒ 3x = y - 12

Substitute  5x = y  into  3x = y - 12  and solve for x:

⇒ 3x = 5x - 12

⇒ 12 = 5x - 3x

⇒ 2x = 12

⇒ x = 6

Therefore, there are 6 students.