Let's make the price of tickets for adults x and children y, now form an equation
Friday - 55y + 20x = 200
Saturday - 72y + 36x = 306
Now you have to have either the x or the y cancel out, so you have to find the relationship between two of them
I am going to multiply the top equation by 9/5 to cancel out the x
99y + 36x = 360
72y + 36x = 306
Now I am going to multiply the bottom equation by -1
-72y - 36x = -306
99y + 36x = 360
The x cancel out
27y = 54
y = 2
So the price of a child ticket is $2
Now plug 2 into one of the original equations
55(2) + 20x = 200
20x = 90
x = 4.5
The price of an adult ticket is $4.50
Answer: The answer is 4.
Step-by-step explanation:
Distribute 3/4 with the (x+8). You will get 3/4x and 24/4, which is 6. Your equation will look like this: 3/4x +6=9. Subtract 6 to 9 to get 3. It will now be 3/4x = 3. Now divide 3/4 on both sides, and the answer will be x=4.