Answer:
Systems of equations, eh?
Step-by-step explanation:
So lets create our variables:
x-Number of adult tickets
y-Number of child tickets
So lets make our system of equations:
We know that a total of 300 tickets were sold, so:
[tex]x+y=300[/tex]
We also know the ticket prices and the amount of money earned, thus:
[tex]5x+3y=1060[/tex]
So here is our System of Equations:
[tex]\left \{ {{x+y=300} \atop {5x+3y=1060}} \right.[/tex]
So let's solve through Substitution:
[tex]x=300-y[/tex]
Inputting it into the second equation:
[tex]5(300-y)+3y=1060\\1500-5y+3y=1060\\-2y=-440\\y=220[/tex]
So, 220 children tickets were sold, and 80 adult tickets were sold.
Hope this Helps!
P.S.Stay Safe!
