Question

Espoo At the city museum, child admission is $5.50 and adult admission is $9.60. On Friday, four times as many adult tickets as child tickets were sold, for a total sales of $1317.00. How many child tickets were sold that day? Number of child tickets:

Answer 1

A system of equations was used to find that approximately 30 child tickets were sold at the city museum. Adult ticket sales were four times the child ticket sales, with total sales amounting to $1317.00.

Step-by-step explanation:

To determine the number of child tickets sold at the city museum, we can set up a system of equations based on the given prices and the total admission sales. Let's designate the number of child tickets as c and the number of adult tickets as a. According to the problem, adult tickets are four times the child tickets, so a = 4c. Furthermore, the total sales from these tickets is $1317.00, and the price of a child ticket is $5.50, while an adult ticket is $9.60. This leads to the equation: 5.50c + 9.60a = 1317.00.

Substituting a from the first equation into the second gives us: 5.50c + 9.60(4c) = 1317.00. This simplifies to: 5.50c + 38.40c = 1317.00, which further simplifies to: 43.90c = 1317.00. Dividing both sides by 43.90 gives us the number of child tickets: c ≈ 30. Thus, approximately 30 child tickets were sold that day.