A group of 5 people order 2 8 inch pizzas, with heights 2cm and 1cm, and density 3/pi g/cm^3, and 5/pi g/cm^3 respectively. If they divide each pizza evenly, how much pizza, in grams, does each person eat? Use 1 inch = 2.5 cm.

This is a slightly advanced GCSE question, involving multiple steps. Each step is quite simple however.First, set out the known variables. Note that the 8 inches is the pizza diameter.r = 8*2.5/2 = 20/2 = 10h1 = 2h2 = 1d1 = 3/pid2 = 5/piThen we calculate the area and volume of each pizza.A = pi * r^2 = 100piv1 = A * h1 = 200piv2 = A * h2 = 100piThen we can calculate the weight of each pizza.d1 * v1 = 3/pi * 200pi = 600d2 * v2 = 5/pi * 100pi = 500w1 = 600w2 = 500Since the pizzas are divided evenly across all people, we can calculate the weight of each pizza eaten by each person.w1/5 = 120w2/5 = 100We can then sum these values to get the total eaten by each person. Don't forget the units!120 + 100 = 220 g

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Answered by Ibrahim Q. Maths tutor

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