Question

At the movie theater child admission is $5.30 in adult admission is $9.40 on Monday 119 tickets were sold for a total sales of $852.10 how many child tickets were sold that day

Answer 1

65 tickets for children

Explanation:

In this case we can solve it by means of a 2x2 system of equations, like this:

Let x be the ticketsr of children

let y be the tickets of adults

Thus:

5.3 * x + 9.4 * y = 852.1

x + y = 119 => x = 119 - y

replacing, we are left with:

5.3 * (119 - y) + 9.4 * y = 852.1

630.7 - 5.3 * y + 9.4 * y = 852.1

9.4 * y - 5.3 * y = 852.1 - 630.7

4.1 * y = 221.4

y = 221.4 / 4.1

y = 54

Now to calculate x:

x = 119 - 54

x = 65

Which means that there are 65 tickets for children and 54 tickets for adults.