Answer:
So, 89 Adult tickets were sold.
Step-by-step 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
