SOLUTION: Mary and I work together. I can work faster than Mary because she has arthritis. Because of her arthritis, Mary can only do .75 trays when I can 1.5 trays. We have a daily quoata o
Question 423876: Mary and I work together. I can work faster than Mary because she has arthritis. Because of her arthritis, Mary can only do .75 trays when I can 1.5 trays. We have a daily quoata of 8 trays to do daily. How many does Mary have to do.
I'm having a problem finding the other equation. I so far have .75a + 1.5b = 8 Answer by vleith(2983) (Show Source):
You can put this solution on YOUR website! Sort of.
you are showing two variables, a and b.
What are they?
The problem says you can do 1.5 trays in the same amount of time Mary can do 0.75
So the equation should be
I bet you can figure the problem out now.
Solve for t
Then take time and use that to find out how many Mary does in that time.
Note that the problem doesn't tell you how much time you actually need. You simply stop when you get to 8 trays.
If it turns out that the two of you cannot both work on the same tray at the same time, then the problem gets a little trickier.
Let's look at that case
In the case where only one of you can work on a specific tray at a time, and the goal is to get 8 trays done as quickly as possible (and no more than 8 trays with no one wasting work), then you should do 5 full trays. The means Mary will have done 1/2 that or 2.5 trays.
At the point when you finish your five trays, marys hands you the tray that is half done. And you finsih that one since you can do it twice as fast as mary can.
That way, you get 8 trays done as quickly as you can and mary doesm't waste time working on cleaning just part of a tray.
in that case, mary would so 2.5 trays and you would end up doing 5.5