If two adults and three children go to the movies, it costs \( \$ 31.50 \). If one adult and five children go to the movies, it costs \( \$ 35.00 \). What is the cost of one adult movie ticket? \( \$ 6.50 \) \( \$ 5.50 \) \( \$ 7.50 \)

Here's a fun twist on a common movie night: imagine you're in charge of the ticket pricing! Let’s break it down. You can set up the equations based on the info given: let \( a \) be the cost of one adult's ticket and \( c \) be the cost of a child's ticket. From the first scenario, you get: 2a + 3c = 31.50 And from the second: 1a + 5c = 35.00 Now, if you solve these equations, you’ll find that the cost of one adult movie ticket is \( \$ 7.50 \). Finding the total costs at the movies is like a treasure hunt—just with more popcorn and less danger! Next time you go to the cinema, take a moment to think about the math behind those ticket prices. It’s a fun way to keep your brain buzzing while you’re munching on your favorite snacks!