Question

En un salon de clases cuando se colocan cuatro alumnos en cada banca, 3 de ellos quedan sin puesto y cuando se colocan de a 5 en cada banca sobran 2 puestos. ¿Cual es el menor numero de alumnos y de bancas que hay en el salon?

Answer 1

Answer: 5 benches and 23 students

Step-by-step explanation:

I will answer in English.

We have E students and B benches.

If we sit 4 students per bench, we have 3 students left.

then:

E = 4*B + 3

And if we sit 5 students per bench, there are two places with no students sited.

E = 5*B - 2

now we can replace the E in the second equation with the right part in the first equation:

4*B + 3 = 5*B - 2

3 + 2  = 5*B - 4*B

5 = B

So we have 5 benches, and:

E = 4*5 + 3 = 23 students.