How I stopped an Alien Invasion using Proportion

One day, there were 2 boys named Rob and Bob. They were flying their kite when suddenly they saw something flying in the air other than their kite. It was coming closer by the second and eventually landed right beside them. It was a U.F.O! 2 aliens came out of a door that opened horizontally. They told us that if we don't solve 3 of their proportional questions, they'd rip our kite into pieces! We didn't want to lose our kite just yet because, we weren't done playing with it.

One alien said, "A small gear turns 18 times in the same that a large gear turns 4 times. How many times will the large gear turn if the small gear turns 54 times? Draw a diagram to help set up a proportion and solve the problem."
We replied with a drawing:





Also with a sentence: The large gear will turn 12 times if the small gear turns 54 times.






The other alien continued, "A gardener takes a half hour to mow and weed a lawn that measures 20 m by 15 m. He charges $25.00 per hour. How much should the gardener receive for a lawn that measures 40 m by 30 m?"
We answered with another drawing:



Also, another sentence: The gardener should receive $25.00 for mowing and weeding a 40m by 30m lawn.






Then, both aliens asked at the same time, "David can saw a log into 3 pieces in 7 min. If he continues sawing at a constant rate, how long will it take him to saw a similar log into 6 pieces?"
Finally, we showed them another drawing:




Also, one last sentence: It will take him 14 min to saw a log into 6 pieces.






After answering their 3 questions, they hopped into their U.F.O. and flew away.

The End :)
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