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Ayúdenme ;----;:

El director de una institución educativa organizó un proyecto de presentación teatral.
El costo de las entradas fue de 30 soles para los adultos y 20 soles para los niños. Si el sábado pasado
asistieron 248 personas y se reunieron 5930 soles, ¿cuántos adultos y cuántos niños respectivamente asis-
tieron a esa función?

Respuesta :

Answer:

97 adults and 151 children assisted to that show.

Step-by-step explanation:

We are gonna use "dollars" instead of "soles.

According to the problem, tickets cost $30 for adults and $20 for children.

Last Saturday assisted 248 people which gave a total of $5930.

To know the number of adults and children were there, we need to defined a system of equations.

[tex]x+y=248\\30x+20y=5930[/tex]

Where [tex]x[/tex] represents adults and [tex]y[/tex] represents children.

First, we multiply the first equation by -20

[tex]-20x-20y=-4960[/tex]

Then, we sum this equation with the second one

[tex]10x=970\\x=97[/tex]

There were 97 adults.

Now, we use this value to find the other one

[tex]x+y=248\\97+y=248\\y=248-97\\y=151[/tex]

There were 151 children.

Therefore, 97 adults and 151 children assisted to that show.

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