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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?​

Respuesta :

semsee45

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.

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