Habiendose organizado un bingo se ha recaudado $1900. Por la entrada de hombres $15 y mujeres $10 y se ha reportado una asistencia de 150 personas. Determinar el numero de hombres y el numero de mujeres que participaron en el bingo

Respuesta :

Answer:

The number of men was [tex]80[/tex]

The number of women was [tex]70[/tex]

Step-by-step explanation:

The question in English is

Having organized a bingo has raised $1900. For the entrance of men $15 and women $10 and an attendance of 150 people has been reported. Determine the number of men and the number of women who participated in the bingo.

Let

x----> the number of men

y----> the number of women

we know that

[tex]x+y=150[/tex]

[tex]x=150-y[/tex] -----> equation A

[tex]15x+10y=1,900[/tex] -----> equation B

substitute equation A in equation B and solve for y

[tex]15(150-y)+10y=1,900[/tex]

[tex]2,250-15y+10y=1,900[/tex]

[tex]15y-10y=2,250-1,900[/tex]

[tex]5y=350[/tex]

[tex]y=70[/tex]

Find the value of x

[tex]x=150-70=80[/tex]

therefore

The number of men was [tex]80[/tex]

The number of women was [tex]70[/tex]

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