Question

"At the city museum, child admission is $6.30 and adult admission is $9.90. On Thursday, 178 tickets were sold for a total sales of $1413.00. How many adult tickets were sold that day?

Answer 1

To determine the number of adult tickets sold, we set up a system of equations and solve for 'a'. The number of adult tickets sold that day is 81.

Step-by-step explanation:

To determine the number of adult tickets sold, we can set up a system of equations. Let's say 'a' represents the number of adult tickets and 'c' represents the number of child tickets. We can set up the following equations:

• a + c = 178 (equation 1)
• 9.90a + 6.30c = 1413.00 (equation 2)

We can solve this system of equations using substitution or elimination. Let's use substitution:

1. Solve equation 1 for 'c': c = 178 - a
2. Substitute this expression for 'c' in equation 2: 9.90a + 6.30(178 - a) = 1413.00
3. Simplify and solve for 'a': 9.90a + 1121.40 - 6.30a = 1413.00
4. Combine like terms: 3.60a + 1121.40 = 1413.00
5. Subtract 1121.40 from both sides: 3.60a = 291.60
6. Divide both sides by 3.60: a = 81

Therefore, 81 adult tickets were sold that day.