Question

A play was attended by 173 people. Adult tickets were $5 each and children paid $3 for each ticket the total revenue was $703. How many of each kind of ticket were sold?

Answer 1

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:

$TotalRevenue = Adults*5 + Children*3$

$703=5a+3c$

Equation 2:

$a+c=173$

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:

$a=173-c$

$703=5(173-c)+3c$

Solving:

$703=865-5c+3c$

$5c-3c=865-703$

$2c=162$

$c=81$

Then, we replace c on equation 2:

$a=173-81$

$a=92$

Answer 2

The answer to this is 10545.