Answer: 81 children and 92 adults
Step-by-step explanation:
To solve the exercise, check the data we have from the question:
Total people: 173
Adult tickets price: $5
Children tickets price: $3
Total revenue: $703
We need to know how many of each kind of ticket were sold. To do so, we can show the data as two equations:
Equation 1:
[tex]TotalRevenue = Adults*5 + Children*3[/tex]
[tex]703=5a+3c[/tex]
Equation 2:
[tex]a+c=173[/tex]
Where a represents adults who attended the event and c represents children who attended the event. We can replace one of the unknown quantities following:
[tex]a=173-c[/tex]
[tex]703=5(173-c)+3c[/tex]
Solving:
[tex]703=865-5c+3c[/tex]
[tex]5c-3c=865-703[/tex]
[tex]2c=162[/tex]
[tex]c=81[/tex]
Then, we replace c on equation 2:
[tex]a=173-81[/tex]
[tex]a=92[/tex]
