Question

A total of 496 tickets were sold for the school play. They were either adult or student tickets. There were 54 fewer students tickets sold than adult tickets. How many adult tickets were sold?

Answer 1

To solve the problem, two equations were created: A + S = 496 and S = A - 54. After substituting S in the first equation, the number of adult tickets sold was found to be 275.

Step-by-step explanation:

To find out how many adult tickets were sold for the school play, we can set up a system of equations based on the information provided. Let's denote the number of adult tickets as A and the number of student tickets as S. According to the problem, the total number of tickets sold was 496, which gives us the equation:

A + S = 496

We are also told that there were 54 fewer student tickets sold than adult tickets, leading to another equation:

S = A - 54

Now we substitute the second equation into the first to solve for A:

1. A + (A - 54) = 496
2. 2A - 54 = 496
3. 2A = 496 + 54
4. 2A = 550
5. A = 275

Therefore, 275 adult tickets were sold.

Answer 2

Adult tickets: 250

Student tickets: 196