Answer:
1 Adult ticket=$21.50 ; 1 Children ticket=$15.50
Step-by-step explanation:
3A+4C=126.50
2A+5C=120.50
We find the price of adult tickets 1st.
15A+20C=632.5
8A+20C=482
7A=632.5-482=150.5
1A=21.50
Now we find Children ticket
6A+8C=253
6A+15C=361.50
7C=108.50
1C=15.50
Let the number of cards in each group be 2x and 3x.
So,
2x + 3x = 120
5x = 120
x = 120 / 5
x = 24
Number of cards in each group is
2x = 2 × 24 = 48
3x = 3 × 24 = 72
One way to solve it is writing two equations based on the info so
y = 5x + 10 for members
y = 6x for nonmembers
(the + 10 isn't included in the second equation because nonmembers won't pay a membership fee)
and to find their intersection point (where the values will be the same), you just set them equal to each other:
5x + 10 = 6x
subtract 5x
x = 10 classes
It would be bisecting angles
The answer to this problem is -0.66666
