# Thread: proportion

1. ## proportion

If a round 8-inch diameter pizza serves two students, how many students should
two 12-inch diameter pizzas serve?

a 9 b. 8 c. 6 d. 4 e. NG

2. What's your plan for a solution?

You must FIRST decide on a "serving size". Is it a "slice"? Is it "square inches"? What?

Once you have decided, then you can solve the problem.

3. Originally Posted by sri340
If a round 8-inch diameter pizza serves two students, how many students should
two 12-inch diameter pizzas serve?

a 9 b. 8 c. 6 d. 4 e. NG
first, you get $4^2\pi$ per 2 students or $8\pi$ per student.

then the larger pizza has size = $36\pi$
so this pizza should serve 4.5 students

4. Zeroeth: Ukorov decided that serving size was measured in square inches of pizza. Tell me you could not have done that. sri450.

5. Originally Posted by sri340
If a round 8-inch diameter pizza serves two students, how many students should
two 12-inch diameter pizzas serve?

a 9 b. 8 c. 6 d. 4 e. NG
Consider the area of the two pizzas, the fist has an area of 16pi, the total area of the other two pizzas is 72pi. If two share the first pizza they eat an area of 8pi each, thefore an area of 72 pi will feed 72/8= 9 people

6. Yet another Area solution.

Perhaps this option... One serving = Number of Slices

8" Pizza can be cut into 6 slices. 6 slices / (2 persons) = 3 slices / person

12" Pizza can be cut into 8 slices. 8 slices / (3 slices / person) = 8/3 persons (or 2 persons with some leftovers or 3 persons with one a little dissatisfied)

Perhaps this option... One Serving = Disk or Washer of equal net diameter.

8" / (2 persons) = 4" per person

12" / (4" / person) = 3 persons

Who ever said anyone eats pizza the same when it comes in different sizes?