A barista averages making 16 coffees per hour. At this rate, how many hours will it take until she's made 1,200 coffees?

16 times x=1200 or

16x=1200

divide both sides by 16

1200/16

so we simplify 1200/16 by factoring out the ones (4/8=1/2 times 4/4 since 4/4=1)

1200=3*2*2*2*2*5*5

16=2*2*2*2*1

so we notice that there are four 2's in both so those are the 'ones' so cross them off and get

3*5*5/1 or 75/1 or 75 hours

75 hours

1200 coffees/16 coffees = 75 hours