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Pizza Portions Puzzle: Math Challenge Explained

elani avatar
elani
10 diapositives · 228 Views · Sep 22, 2014

Solve a math problem involving pizza portions eaten by students of different ages. Find the difference in square inches consumed by 18-year-olds in two scenarios. Follow the step-by-step strategy to grasp the solution.

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Pizza Portions Puzzle: Math Challenge Explained
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  1. POD Week 26Problem 2 By Jose Caballero

  2. Problem • Again A Pizza, 8 Inches In Diameter, Will Be Eaten By Seven Math Students, But Suppose That One 18-year-old Is Replaced By A 16 Year Old And The Number Of 9 Year Olds Remains The Same. If The Amount Of Pizza Eaten By A Student Is Directly Proportional To The Student’s Age, What Is The Difference Between The Number Of Square Inches Eaten By An 18-year-old In The First Problem And The Number Of Square Inches Eaten By An 18-year-old In The Second Problem? Strategy – I Asked My Parents

  3. Step One • My first Step was I had to find the amount of sq. in of pizza that each 18-year-old ate in the first problem and my answer to that was 9.13914. The reason I did that was because in the problem what your supposed to find is the difference between the number of sq. in eaten by an 18-year-old in the 1st problem and the amount of sq. in eaten in the 2nd problem.

  4. Step Two • My Second step was to find the area of the pizza which I found on the 1st problem and was 16Π. But I estimated to find a decimal and got 50.26544 sq. in. = 50.26544

  5. Step 3 • For My third step I added all the ages of all the students. I did that because i needed to find the number that each student ate.

  6. Step 4 • For my fourth step I the divided the area of the pizza between the age of all the kids ages put together. I did that to find the number of sq. in by age .

  7. Step 5 • For My fifth step I multiplied .51820 by the age of the student. To find the number of sq. in that each student ate depending on their age.

  8. Last Step • For my last step what I did was I subtracted the number of sq. in that each 18-year-old ate from the second problem minus the number of sq. in that each 18-year-old ate and got .18846

  9. My Final Answer • My final answer Is: .18846

  10. AnyQuestions???