Question

Una clase de 32 se dividen para ir al cine y el otro grupo a la piscina. Si la entrada de la piscina cuesta 2,5 euros y la del cine 3,5 euros y se han gastado un total de 94 euros, ¿cuantos niños componían cada grupo?.

Answer 1

14 children went to the movies and 18 went to the pool.

14 niños en el grupo del cine y 18 en el grupo de la piscina.

Explanation:

We can solve this question using a system of equations.

I am going to say that:

x is the number of children that went to the movies.

y is the number of children that went to the pool.

Class of 32:

This means that
`x + y = 32`

To go to the pool, it costs 2.5 euros. To go the movies, it costs 3.5 euros. 94 euros were spent.

This means that
`3.5x + 2.5y = 94`

From the first equation:

`y = 32 - x`

Replacing in the second

`3.5x + 2.5y = 94`

`3.5x + 2.5(32 - x) = 94`

`3.5x + 80 - 2.5x = 94`

`x = 14`

`y = 32 - x = 32 - 14 = 18`

14 children went to the movies and 18 went to the pool.

14 niños en el grupo del cine y 18 en el grupo de la piscina.