Question

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

Answer 1

The number of men was
`80`

The number of women was
`70`

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

`x+y=150`

`x=150-y` -----> equation A

`15x+10y=1,900` -----> equation B

substitute equation A in equation B and solve for y

`15(150-y)+10y=1,900`

`2,250-15y+10y=1,900`

`15y-10y=2,250-1,900`

`5y=350`

`y=70`

Find the value of x

`x=150-70=80`

therefore

The number of men was
`80`

The number of women was
`70`