Divide the number of pictures put up so far (37) over the time in minutes taken (9) to get
37/9 = 4.11
This value is the approximate unit rate. So she can put up roughly 4.11 pictures per minute
The question is: how long will it take her to put up 444 pictures?
Let x = amount of time it takes to put up all the pictures
It turns out that
(unit rate)*(time) = number of pictures put up
So
4.11*x = 444
Divide both sides by 4.11 to isolate x
4.11*x = 444
4.11*x/4.11 = 444/4.11
x = 108.03
which rounds to 108 minutes
This is the total time it takes to put up all the pictures. Since the question asks about the additional time needed after the initial 9 minutes, we need to subtract off 9
108 - 9 = 99
Final Answer: 99
It takes an additional 99 minutes to put up the remaining pictures
