Answer:
The number of men was ![80](https://tex.z-dn.net/?f=80)
The number of women was ![70](https://tex.z-dn.net/?f=70)
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
![x+y=150](https://tex.z-dn.net/?f=x%2By%3D150)
-----> equation A
-----> equation B
substitute equation A in equation B and solve for y
![15(150-y)+10y=1,900](https://tex.z-dn.net/?f=15%28150-y%29%2B10y%3D1%2C900)
![2,250-15y+10y=1,900](https://tex.z-dn.net/?f=2%2C250-15y%2B10y%3D1%2C900)
![15y-10y=2,250-1,900](https://tex.z-dn.net/?f=15y-10y%3D2%2C250-1%2C900)
![5y=350](https://tex.z-dn.net/?f=5y%3D350)
![y=70](https://tex.z-dn.net/?f=y%3D70)
Find the value of x
![x=150-70=80](https://tex.z-dn.net/?f=x%3D150-70%3D80)
therefore
The number of men was ![80](https://tex.z-dn.net/?f=80)
The number of women was ![70](https://tex.z-dn.net/?f=70)
<em>24p² + pq - 23q² = </em>
<em>= 24p² + 24pq - 23pq - 23q²</em>
<em>= 24p(p + q) - 23q(p + q)</em>
<em>= (p + q)(24p - 23q)</em>
<em />
<em />
B=cost per boquet
v=cost per vase
3b+5v=25.75
8b+2v=29.00
use eliminateion
divide 2nd equation by 2
4b+v=14.50
multiply it by -5 and add to other equation to eliminate v
-20b-5v=-72.5
<span><u>3b+5v=25.75 +</u></span><u />
-17b+0v=-46.75
-17b=-46.75
divide both sides by -17
b=2.75
a boquet costs $2.75