Ayúdenme ;=-;: El director de una institución educativa organizó un proyecto de presentación teatral. El costo de las e

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?

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Eden 1 week 2021-10-06T08:28:40+00:00 1 Answer 0

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    2021-10-06T08:30:38+00:00

    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.

    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.

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