1 adult + 2 kids: admission = 8.75

2 adults + 5 kids: adm = 19.75

I have the answer, just need the formula - I guessed and checked (a lot) and got kids' tickets = 2.25
adults' tickets = 4.25

a + 2k = 875 (1)

2a + 5k = 1975 (2)

from (1) a = 875-2k
sub into (2)
2(875-2k) + 5k = 1975
1750 - 4k + 5k = 1975
k = 225
then a = 875-450
a = 425

thanks

To find the formula for the price of adult and kids' tickets, we can use a system of equations. Let's assign variables to represent the price of adult tickets and kids' tickets.

Let's say the price of an adult ticket is "a" and the price of a kid's ticket is "k".

Now, we can set up two equations based on the given information:

Equation 1: 1a + 2k = 8.75
This equation represents the total cost for one adult and two kids.

Equation 2: 2a + 5k = 19.75
This equation represents the total cost for two adults and five kids.

To solve this system of equations, we have a few options. One way is to use the method of substitution or elimination. However, since you already found the values for "a" and "k" through guess and check, we can use them.

From your answer, you found that kids' tickets cost $2.25 and adults' tickets cost $4.25. Therefore, the formula for the price of tickets can be expressed as:

The price of a kid's ticket = $2.25
The price of an adult ticket = $4.25

So, using these formulas, you can calculate the ticket prices for any given combination of adults and kids.