How I Stopped an Alien Invasion Using Proportion

Before I never believed in aliens. I always thought it was a huge lie. Until I saw this bright light coming from outside my window one day. As i looked out I saw a huge UFO had just landed onto my street. Everyone was scared and freaked out. But I was very amazed and interested. So as I got closer everyone screamed at me to get away from that thing, but I wanted to see the aliens. Then the big door came down, and the aliens came out. They started speaking some kind of language to eachother that I couldn't understand. Then one of them came up to me and told me they were taking over planet earth. I asked what could I do to make them change their mind. They explained to me that their homework from school is due tomorrow, and they didn't know what proportion was. And I offered to teach it to them. I told them that proportion is a relationship that says two ratios, or two rates are equivalent. I also explained to them that proportions can be also solved as fractions or on a ratio table. Proportions could also be expressed as a unit rate. So after I explained to them, to make sure they understood , I gave them 3 questions.

4. Determine the unit rate

a) Three dinner rolls cost 99 cents

- 33cents/roll

b) Seven identical objects have the mass of 14kg.

- 2kg/object

11. A small gear turns 18 times at the same time that large gear turns 4 times. How many times will the large gear turn if the small gears turns 54 times? Draw a diagram to set up a proportion and solve the problem.

19. Determine the missing values for each

equivalent fractions.

a)

b)

sorry I did it kind of late.