# Math Concepts

Begin by describing your discussion of your selected math concept and how you came up with the scenario to illustrate its real-world use.
Discuss its transition from a verbally articulated scenario, to a written word problem, to a mathematically written problem.
If M = Mary, J = John and P = Paul is painting the room together, it would be:
M + J + P = ½ room/ hour.
• The formula r=w/t is the point that will determine hourly rate for the whole group and also for each person. The variables w = work, t = time
If       M = 1/5 room/hour
P =1/6   room/hour
J=1/t     room/hour (J’s time is not defined yet. So the time is still a variable (t)).

The equation that will show the sum of their individual rates which is the group rate will
be:
1/5 + 1/6 + 1/t = 1/2
For this process, Paul worked for an hour and painted 1/6 of the room, Mary for an hour
and painted 1/5 of the room, John worked for one hour and painted 1/t
In order to solve this problem, we set 5*6*t=30t
Mary, John, and Paul can paint a room in two hours, how long will it take for one person to paint the same room? Assuming that Mary and Paul are busy with something else and John has to paint the room himself. If M = Mary, J = John and P = Paul is painting the room together, it would be: M + J + P = ½ room/ hour.                                                                                                                                   The formula r=w/t is the point that determines hourly rate for the whole group and also for each person. The variables w = work, t = time,...