Question

Can someone help me with this problem please?

Answer 1

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.

$(-7x)92=7x+y(-7x)$

$y=92-7x$

2.) Take the value of y and plug it into "y" into the other equation to solve "x"

$200= 14x + 4(92-7x)\\200=14x+368-28x\\(-368)200=-14x+368(-368)\\(-\frac{1}{14})* -168=-14x*(-\frac{1}{14} )\\\\x=12$

(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)

$92=7(12)+y\\(-84)92=84+y(-84)\\y=8$

Answer 2

23 2563746646374637 grudge duhrhf