Question

At the movie theatre, child admission is S5.20 and adult admission is $8.30. On Tuesday, 156 tickets were sold for a total sales of S1087.10. How many adult

tickets were sold that day?

Answer 1

So, 89 Adult tickets were sold.

Explanation:

So, we first name our variables, say, a for number of adult tickets, and c for child tickets.

Then we write our system of equations, first the total $ sale:

5.2c + 8.3a = 1087.10

Then we write the 2nd equation, the total number of tickets:

c + a = 156

Now, we can solve the system:

We do have different methods, let's to by subsitution.

make some change to the 2nd equation, to make c the subject: c = 156 - a

Now we plug that into the 1st equation:

5.2(156 - a) + 8.3a = 1087.10

811.2 - 5.2a + 8.3a = 1087.10

811.2 + 3.1a = 1087.10

3.1a = 275.9

a = 89