Question

Rico’s dad brought home two pizzas that were exactly the same size the pepperoni pizza with cut into six equal pieces the cheese pizza with cut into 12 equal pieces Rico’s little brother Louis ate two pieces of pepperoni pizza is big sister Lila ate four pieces of the chicken pizza Louis started crying because he thought Lila got more pizza than he did Lila said they got the same amount who is right Louis or Lila use sketches labels or numbers and show your work

Answer 1

Lila is correct; both she and Louis ate the same amount of pizza. Louis ate 2 slices of a pizza cut into 6 slices (2/6), and Lila ate 4 slices of a pizza cut into 12 slices (4/12). When simplified, both fractions equal 1/3, showing they ate equal portions.

Step-by-step explanation:

Understanding Pizza Fractions

Let's tackle the problem using fractions. Since both pizzas are the same size, we can compare the sizes of the slices directly. Rico's brother, Louis, ate 2 slices of pepperoni pizza, and each slice is 1/6 of the whole pizza. So in total, Louis ate 2/6 (or 1/3) of the pizza. Rico's sister, Lila, ate 4 slices of cheese pizza; each slice is 1/12 of the whole pizza. So, Lila ate 4/12 (also 1/3) of the pizza. This means that both Louis and Lila ate the same amount of pizza—each ate one-third of a pizza.

To visualize this, if you take one pizza and divide it into 6 pieces (representing the pepperoni pizza), two pieces would be 2 out of 6. For the cheese pizza, if you draw another pizza and divide it into 12 pieces, four pieces would represent 4 out of 12. Both scenarios show that when you simplify the fractions 2/6 and 4/12, they both reduce to 1/3. Therefore, the statement of Lila is correct; they both got the same amount of pizza.

Answer 2

Both Louis and Lila ate the same amount of pizza. Louis had 2 slices out of 6
`(\( (1)/(3) \))`of the pizza), and Lila had 4 slices out of 12 (also \( \frac{1}{3} \) of the pizza). Despite the different number of slices, the fraction of the total pizza they each consumed was identical.

Step-by-step explanation:

The question involves comparing the amounts of pizza that Rico's little brother Louis and his big sister Lila ate. Rico's dad brought home two identical pizzas, the pepperoni pizza was cut into 6 equal slices and the cheese pizza was cut into 12 equal slices. Louis ate 2 slices of the pepperoni pizza, while Lila ate 4 slices of the cheese pizza.

To determine who ate more, we need to compare the fraction of the total pizza each person consumed. Louis ate 2 out of 6 slices of the pepperoni pizza, which is
`\( (2)/(6) \)` of the pizza.

This fraction can be simplified to
`\( (1)/(3) \)`.

Lila ate 4 out of 12 slices of the cheese pizza, which is also
`\( (1)/(3) \)`, and this fraction simplifies to
`\( (1)/(3) \)` of the pizza as well.

Therefore, both Louis and Lila ate the same amount of pizza, which is one-third of a pizza.