Question 1012100
Lets say there are an x number of rooms.
5x+3=6(x-2)
The two sides of the equation represent the number of people. If each room can fit 5 people, and there are an x number of rooms, there are 5x people, but with 3 leftover, so we add 3. The right side has x-2 in parenthesis, because there are 2 fewer rooms, but we change the 5 to a 6, as there are now 6 people a room.
*[invoke explain_simplification "5x+3=6(x-2)" ]
With 15 people per room, you can plug it into either equation to find the number of people.
*[invoke explain_simplification "5(15)+3" ]
*[invoke explain_simplification "6(15-2)" ]
Therefore there are 78 people at the camp.