when two gears are mashed, the revolutions per minute (rpm) are inversely proportional to the number of teeth, as shown below. In one machine the rpm ratio of the large gear to the small gear is 4:5. The small gear has 188 teeth. In a second machine the large gear revolves at 500 rpm and has 287 teeth. The small gear revolves at 700 rpm.

What is the number of teeth on the large of the first machine?
What is the number of teeth on the small gear of the second machine?

Question

when two gears are mashed, the revolutions per minute (rpm) are inversely proportional to the number of teeth, as shown below. In one machine the rpm ratio of the large gear to the small gear is 4:5. The small gear has 188 teeth. In a second machine the large gear revolves at 500 rpm and has 287 teeth. The small gear revolves at 700 rpm. 

What is the number of teeth on the large of the first machine?
What is the number of teeth on the small gear of the second machine?