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

the answer to this is 10545.

Answer 2

Answer: 81 children and 92 adults

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`