Answer: The price for one adult ticket is $10 and the price for one child ticket is $7.
Step-by-step explanation:
<h3> The correct exercise is: "At a movie theater, the price of 2 adult tickets and 4 children tickets is 48$. The price of 5 adult tickets and 2 child tickets is 64$. What is the price for one adult and one child?"</h3>Let be "a" the price (in dollars) for one adult ticket and "c" the price (in dollars) for one child ticket.
Set up a System of equations with the data given in the exercise:
You can use the Elimination method to solve the System of equations:
1. Multiply the second equation by -2.
2. Add the equations.
3. Solve for "a".
Then:
4. Substitute the value of "a" into any original equation.
5. Solve for "c":