Jack and Diane went to the movies. They each paid the same amount for an admission ticket. Together, they spent $12 on snacks. The total cost of admission and snacks for Jack and Diane was $26. How much was each admission ticket?
Choose a variable.
Write an equation you could use to solve this problem.
Let a = price of admission
2a + 12 = 26
2a = 14
a = 7
Let's choose the variable "x" to represent the cost of each admission ticket.
To write an equation, we need to consider the information given in the problem. We know that Jack and Diane each paid the same amount for an admission ticket, so the cost of Jack's ticket is x and the cost of Diane's ticket is also x. Additionally, we know that they spent $12 on snacks.
According to the problem, the total amount that Jack and Diane spent on admission and snacks was $26. Therefore, our equation can be written as:
2x + 12 = 26
In this equation, 2x represents the total cost of both admission tickets (since Jack and Diane each paid x amount), and 12 represents the cost of snacks.
Now we can solve the equation to find the value of x, which will give us the cost of each admission ticket.