SOLUTION: 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

Question 242963: 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

Found 2 solutions by checkley77, MathTherapy:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
area=pid
area=3.14*8
area=25.12 in^2
25.12/2=12.56 in^2 per student.
area=2*3.14*12
area=2*37.68
area=75.36
75.36/12.56=6 students worth of pizza.
Answer d).
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
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

Since one 8-inch pizza serves 2 students, then this means that a pizza with an area of serves 2 students

A pizza with a diameter of 12 inches has an area of . Therefore, 2 pizzas with diameters of 12 iches each both have a total area of squared inches.

Using proportions, we can determine how many students two 12-inch diameter pizzas can feed. By making the amount of students equal to S, we get the following:

Cross-multiplying, we get:

Therefore, S, or the amount of students that two 12-inch diameter pizzas will serve is
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