The price for an adult carnival ticket is 6.5 more than a carnival ticket for a child. Bob takes his son to the carnival. He buys cotton candy for $10.25, and spends $55. Write and solve a linear equation to find the prices for each of their carnival tickets.
see "Austin"s post above
To solve this problem, let's first set up a system of equations to represent the given information.
Let's assume the price of a child's carnival ticket is "x" dollars. According to the given information, the price for an adult carnival ticket is $6.5 more than the price of a child's carnival ticket.
So, the price of an adult ticket can be represented as "x + 6.5" dollars.
Now, let's set up the equations based on the given information:
1) Bob buys cotton candy for $10.25
2) Bob spends a total of $55
Equation 1: Cotton candy price
10.25 = x + 6.5
Equation 2: Total spent
55 = x + (x + 6.5)
Now, let's solve the system of equations to find the prices of the child and adult carnival tickets.
Equation 1:
x + 6.5 = 10.25
x = 10.25 - 6.5
x = 3.75
Equation 2:
55 = x + (x + 6.5)
55 = 3.75 + (3.75 + 6.5)
55 = 3.75 + 10.25
55 = 14
Since the equation 55 = 14 is not true, it seems that there might be an error in the given information or in the setup of the problem. Please double-check the information provided or the problem statement.