How I stopped an Alien Invasion using Proportion

It was just like any ordinary day but then UFO landed and threatened to take over the Earth unless I answer 3 of their proportional questions correctly.









Their first question was:

A small gear turns 18 times in the same time 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.

In the same amount of time that the small gear turns 54 times, the large gear would have turned 12 times.
The alien said it was right but not to be too happy because it was probably just a fluke. I have 2 more to go until saving the Earth.



Question 2 is:

Look at the pattern. Set up a proportion you could use to find the number of small squares in Figure 7. In figure 7, there would be 14 squares.

I could see the alien getting nervous and starting to sweat which meant I was correct and all I needed was one more question to go.


The third and last question is:

The dosage of a certain medicine for a child is 2.5 mL for each 3 kg mass of the child. What is the dose, in millilitres, for a child with a mass of 16.5 kg?

For a child with a mass of 16.5 kg, they will have a dose of 13.75 ml of the medicine.
The alien got very disappointed because he couldn't take over the Earth but kept his word and immediately left.

THE END