Anthony's family is going to the zoo for the day. They bought 3 adult tickets and 2 child tickets for $23.50. Bella's family bought 2 adult tikets and 4 child tickets for $25. Solve the equation to find the price on an adult ticket and a child ticket.

Adult's ticket is

Child's ticket is $3.50

Step-by-step 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