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: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.Letx----> the number of meny----> the number of womenwe know that[tex]x+y=150[/tex][tex]x=150-y[/tex] -----> equation A[tex]15x+10y=1,900[/tex] -----> equation Bsubstitute 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]thereforeThe number of men was [tex]80[/tex]The number of women was [tex]70[/tex]