If it takes 5 machines 5 minutes to make 5 widgets, how long (in minutes) would it take 100 machines to make 100 widgets?

20 Minutes i think. (*_*) >_< :) $_$ ._.

5 Minutes

Step-by-step explanation:

Note that the time it takes to make a widget, is :

(a) directly proportional to the number of widgets [the more widgets you want to make, the longer it will take]

(b) inversely proportional to the number of machines [the more machines you have, the shorter time it will take to make a widget]

using the information above, we have the following equation:

t = k*w/m    

t= time it takes

k= constant of proportionality

w = # of widgets

m = #machines

Using the given information,

5= k*5/5

This means that k=5 and out equation is  

t = 5*w/m

 And to solve the problem, we just plug in the values

t= 5*100/100  

t= 5 minutes.

21

step-by-step explanation:

b) 1/3 * 1/5

step-by-step explanation:

each smallest part is 1/15 since the written one is 1/5 and it's divided by 3 equal parts. (1/5 )/3 = 1/15 = 1/3 * 1/5