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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?.

Respuesta :

Answer:

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.

Step-by-step 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 [tex]x + y = 32[/tex]

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 [tex]3.5x + 2.5y = 94[/tex]

From the first equation:

[tex]y = 32 - x[/tex]

Replacing in the second

[tex]3.5x + 2.5y = 94[/tex]

[tex]3.5x + 2.5(32 - x) = 94[/tex]

[tex]3.5x + 80 - 2.5x = 94[/tex]

[tex]x = 14[/tex]

[tex]y = 32 - x = 32 - 14 = 18[/tex]

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.

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