Question

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?

Answer 1

97 adults and 151 children assisted to that show.

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.

`x+y=248\\30x+20y=5930`

Where
`x` represents adults and
`y` represents children.

First, we multiply the first equation by -20

`-20x-20y=-4960`

Then, we sum this equation with the second one

`10x=970\\x=97`

There were 97 adults.

Now, we use this value to find the other one

`x+y=248\\97+y=248\\y=248-97\\y=151`

There were 151 children.

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