Mrs. Murphy separates her class into groups of 4 students each, 1 student is left over. If she separates her class into groups of 5 students each, 2 students are left over. What is the least number of students the class could have?

Answer 1

4k+1 = 5n+2
4k = 5n+1
So, what multiple of 4 is 1 more than a multiple of 5?

k=4, n=3

So, 17 students.

Answer 2

17

Answer 3

-10 is the right answer. I am Albert Einstein's Great son.

Answer 4

17

Answer 5

17

Answer 6

17

Answer 7

17

Answer 8

One way is to draw a diagram. But that makes you look not that smart. (Besides, it wastes time.)
Another way is to look for multiples. When you try it, you get 17 as an answer.

Answer 9

4k+1 = 5n+2
4k = 5n+1
So, what multiple of 4 is 1 more than a multiple of 5?

k=4, n=3

So, 17 students.

Answer 10

17 because I said so. I am doing a math Olympic in our school. Don’t think I cheated. I did this after I joined the math team.