Answer:
senior tickets sold: 12
child tickets sold:8
Step-by-step explanation:
Let
x= amount of senior tickets sold
y= amount of child tickets sold
For the first equation, it should look like:
200=14x+4y
For the second equation, it should look like:
92=7x+y
So this is a systems of equations problem. So I will use substitution as it is easier:
1.) Take one of the equations (in this case ill take 92=7x+y) and make one variable have a value, in this case ill isolate the y.
[tex](-7x)92=7x+y(-7x)[/tex]
[tex]y=92-7x[/tex]
2.) Take the value of y and plug it into "y" into the other equation to solve "x"
[tex]200= 14x + 4(92-7x)\\200=14x+368-28x\\(-368)200=-14x+368(-368)\\(-\frac{1}{14})* -168=-14x*(-\frac{1}{14} )\\\\x=12[/tex]
(editor's note:instead of dividing it by 14, I multiply by 1/14 as it would look complicated in the equation solving steps)
3.) Then plug the value of "x" to one of the equations to solve for "y" (which I'll use the 92=7x+y)
[tex]92=7(12)+y\\(-84)92=84+y(-84)\\y=8[/tex]
