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

4 0

3 years ago

I need help! I forgot how to do this problem

Nataly [62]

Answer:

Step-by-step explanation:

8 0

3 years ago

LM is the midsegment of trapezoid ABCD. AB= x + 8, LM = 4x + 3, and DC = 187. What is the value of x?

beks73 [17]

$\frac{|DC|+|AB|}{2}=|LM|\\\\|AB|=x+8;\ |LM|=4x+3;\ |DC|=187\\\\substitute:\\\\\frac{187+x+8}{2}=4x+3\ \ \ \ /\cdot2\\\\195+x=8x+6\ \ \ /-195;\ /-8x\\\\-7x=-189\ \ \ /:7\\\\\underline{\underline{x=27}}$