Question

si para un juego se arman grupos de 3, sobran 2; y si se arman grupos de 5, sobran 4, y si se arman grupos de 4 no sobra ninguno. Si hay menos de 50 alumnos en el grupo: cuantos alumnos juegan?

Answer 1

To solve this problem, we need to use the concept of multiples and the least common multiple (LCM) to find the total number of students playing the game.

Step-by-step explanation:

To solve this problem, we can start by using the given information. We know that if groups of 3 are formed, 2 students are left over. This means that the total number of students must be 2 more than a multiple of 3. Similarly, if groups of 5 are formed, 4 students are left over, which means the total number of students must be 4 more than a multiple of 5. Finally, if groups of 4 are formed, no students are left over, so the total number of students must be divisible by 4.

We can find the least common multiple (LCM) of 3, 5, and 4 to find the total number of students. The LCM of 3, 5, and 4 is 60. This means that there are a total of 60 students playing the game.