Question

Solving a At the movie theatre, child admission is $5.80 and adult admission is $9.10. On Thursday, 154 tickets were sold for a total sales of $1193.50. How many child tickets were sold that day? Number of child tickets:

Answer 1

Child tickets sold that day: 106.Substitute
`\(A = 91\)` into equation 1 to find the number of child tickets:

`\(C + 91 = 154\)`

Step-by-step explanation:

To find the number of child tickets sold, let's denote the number of child tickets as "C" and the number of adult tickets as "A." We're given two equations based on the ticket sales and revenue:

1.
`\(C + A = 154\)`(total number of tickets sold)

2. \
`(5.80C + 9.10A = 1193.50\)` (total revenue generated)

Using substitution or elimination method to solve the equations, let's start by multiplying the first equation by 5.80 to align coefficients:

`\(5.80C + 5.80A = 892.40\)` (equation 1 multiplied by 5.80)

Now, subtract equation 1 from equation 2:

\(9.10A - 5.80A = 301.10\) (subtracting equation 1 from equation 2)

This simplifies to:

`\(3.30A = 301.10\)`

Therefore,
`\(A = (301.10)/(3.30) = 91\)`(number of adult tickets)

Substitute
`\(A = 91\)` into equation 1 to find the number of child tickets:

`\(C + 91 = 154\)`

`\(C = 154 - 91 = 63\)`(number of child tickets)

Hence, the number of child tickets sold that day is 63.