Question

Luigi’s cousins ate part of a large pizza he made. Hector ate 30% of the pizza, and Zamiah ate 25% of the pizza. Luigi shouted, "You ate 9/20 of my pizza." Is Luigi correct that they ate 9/20 of the pizza? Explain and show your thinking.

Answer 1

Luigi is incorrect; after converting Hector's 30% to 6/20 and Zamiah's 25% to 5/20, the total fraction of pizza they ate is 11/20, not 9/20.

Step-by-step explanation:

The question is whether Luigi is correct in stating that Hector and Zamiah ate 9/20 of his pizza when Hector ate 30% and Zamiah ate 25%.

To verify Luigi's claim, we convert the percentages to fractions. Hector's 30% is equivalent to 3/10 of the pizza, and Zamiah's 25% is equivalent to 1/4 of the pizza. To add these fractions together, we need a common denominator. The least common denominator for 10 and 4 is 20. So we convert 3/10 to 6/20 and 1/4 to 5/20. Adding these fractions gives us 6/20 + 5/20, which equals 11/20.

Therefore Luigi's statement that they ate 9/20 of his pizza is incorrect; they actually ate 11/20 of the pizza.