I'm not sure how to do this:
There are 9 people who are going to see a movie. The total cost for the tickets is $54, with adult tickets costing $8 each and child tickets costing $5 each. Write a system of equations to represent the situation. Use a for adult tickets, and c for child tickets
a+c = 9
8a+5c = 54
5 children and 2 adults tickets are $98. adult's ticket is 3 times more than childs solve the equation
wow its been a while
To write a system of equations to represent the situation, we need to consider two variables: a for adult tickets and c for child tickets.
Let's break down the given information into equations:
1. The total number of people going to see the movie is 9.
Equation 1: a + c = 9
2. The total cost for the tickets is $54.
The cost of adult tickets (a) is $8 each, and the cost of child tickets (c) is $5 each.
Equation 2: 8a + 5c = 54
Combining both equations, we have our system of equations:
Equation 1: a + c = 9
Equation 2: 8a + 5c = 54
Now, you can use this system of equations to solve for the values of a and c using various methods, such as substitution or elimination, to find the number of adult and child tickets being purchased.