# The corporate team-building event will cost $36 if it has 18 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $78?

##### 1 Answer

Using a sort of cheat method!

For $78 the count of attendees is 39

#### Explanation:

Consider the attendance for $36 to be an attendance of I set

The count of sets for $78 is

So the count of attendees is

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Using ratio but in fraction format (this is NOT a fraction)

Let the unknown count be

Initial condition:

Target condition:

The ratio of the numbers in each case is the same. So we can write:

Multiply both sides by 78

What follows is the process that is behind cancelling out

But