The question in English <span>A dance was attended by 270 people. If the gentlemen tickets cost 100 pesos and the lady tickets 80 pesos and 24800 pesos were collected for all the tickets. How many women and how many men attended the dance?
let x---------> the number of men y--------> the number of women
we know that x+y=270----> x=270-y-----> equation 1 100x+80y=24800-------> equation 2 substitute equation 1 in equation 2 100*[270-y]+80y=24800----> 27000-100y+80y=24800 20y=2200-----> y=110 x=270-y----> x=270-110----> x=160
the answer is the number of men ---> 160 the number of women----> 110
the answer in Spanish
</span>hagamos x--------->la cantidad de hombres y--------->la cantidad de mujeres
Sabemos que x+y=270----> x=270-y-----> ecuacion 1 100x+80y=24800-------> ecuacion 2 sustituimos la ecuacion 1 en la ecuacion 2 100*[270-y]+80y=24800----> 27000-100y+80y=24800 20y=2200-----> y=110 x=270-y----> x=270-110----> x=160
La respuesta es la cantidad de hombres es 160 la cantidad de mujeres es 110
