Question

At the movie theatre, child admission is $5.40 and adult admission is $9.50. On Wednesday, 146 tickets were sold for a total sales of $1001.60. How many adult tickets were sold that day?

Answer 1

52 adult tickets

Explanation:

We can write a system of equations to solve this:

Let x represent child tickets and y represent adult tickets.

x+y=146

5.4x+9.5y=1001.6

Solve for y in the first equation:

x+y=146

subtract x from both sides

y=146-x

Substitute this into the second equation:

5.4x+9.5(146-x)=1001.6

simplify

5.4x+1387-9.5x=1001.6

combine like terms

-4.1x + 1387=1001.6

subtract 1387 from both sides

-4.1x=-385.4

divide both sides by -4.1

x=94

Next, plug in this into the first equation and solve for y (adult tickets).

94+y=146

subtract 94 from both sides

y=52

So, 52 adult tickets were sold that day.

Hope this helps! :)