Question

a girl scout troop is selling cookies. on wednesday, the group set up their stand and sold 1\12 of their boxes in 15 minutes. at thus rate how much of their cookies could they sell in one hour

Answer 1

We have the following situation:

1/12B ---> 15 min = 1/4h

Then, at this rate, we have that the cookies that she is going to sell are:

`(1)/(12)B\Rightarrow(1)/(4)h\Rightarrow4\cdot((1)/(12)B)\Rightarrow4\cdot((1)/(4)h)\Rightarrow(1)/(3)B\Rightarrow1h`

Then, at this rate, they are going to sell 1/3 of the boxes in one hour.

With the way of posing the question above, we can have the same result:

`x\cdot(1)/(4)h=1h\cdot(1)/(12)B\Rightarrow x=(1h\cdot(1)/(12)B)/((1)/(4)h)\Rightarrow x=(4)/(12)B\Rightarrow x=(1)/(3)B`

At this rate, they could sell 1/3 boxes in one hour.