Answer:
Adult's ticket is
Child's ticket is $3.50
Explanation:
We'll call the price of adult tickets x and the price of child tickets y
Anthony's family bought 3 adult tickets for $x, and 2 child tickets for $y and paid a total of $23.50. In math-speak that's:
3x + 2y = 23.50
Bella's family equation looks like this:
2x + 4y = 25
We're going to solve for x in terms of y with Bella's family first
Isolate the x:
2x = 25 - 4y
x = 12.5 - 2y
Then we'll substitute that into Anthony's family equation, and get a number value for y
3(12.5 - 2y) + 2y = 23.50
37.50 -6y + 2y = 23.50
-4y = -14
y = 3.5, so a child's ticket is $3.50
Substitute that value into our (x = 12.5-2y) to solve for x
x = 12.5 -2(3.5)
x = 12.5 - 7
x = 5.5, so an adult ticket is $5.50
Checking the values in Bella's family:
2(5.5) + 4 (3.5) = 11 + 14 = $25
LMK in the comments if you have questions