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Printjmc
prealgebra senior
Problem
A -diameter pizza and a -diameter pizza are each cut into eight congruent slices. Jane ate three slices of the pizza. Mark ate three slices of the pizza. How many more square inches of pizza did Mark eat than Jane? Express your answer as a common fraction in terms of .
Solution
They both ate of a pizza. Therefore, the quantity that Mark ate in excess of Jane is simply the difference in total area of the pizzas. The 16'' pizza has area, and the 12'' pizza has area, making for a difference of .
Final answer
\frac{21}{2}\pi