Free. Exclusive. Just for you.
Four unique services that make learning easier, faster, and smarter - only on our website.

Description of the newly discovered moth species Boreolophota marmickielli from Alaska.

A document titled "Boreolophota Marmickielli" detailing a new species of moth discovered in Alaska, with text describing its characteristics and habitat.

A document titled "Boreolophota Marmickielli" detailing a new species of moth discovered in Alaska, with text describing its characteristics and habitat.

JPG 275×213 15 KB Free · Personal Use
Quality Assured by Worksheets Library Team
Reviewed for educational accuracy and age-appropriateness
ID: #351472
Show Answer Key & Explanations Step-by-step solution for: 11th Grade Reading Comprehension Worksheets | Reading ...
The problem you've described involves a mathematical puzzle related to the distribution of apples among three individuals: Borsalino, Peppino, and Marmellina. Let's break it down step by step.

---

Problem Statement


1. Initial Setup:
- Borsalino starts with 50 apples.
- He gives half of his apples (rounded down) to Peppino.
- Peppino then gives half of his apples (rounded down) to Marmellina.
- Marmellina eats one apple and gives the rest back to Peppino.
- Peppino eats one apple and gives the rest back to Borsalino.
- Borsalino eats one apple and gives the rest back to Peppino.
- This process repeats until all apples are eaten.

2. Objective:
Determine how many apples each person eats in total.

---

Step-by-Step Solution



#### Step 1: Initial Distribution
- Borsalino starts with 50 apples.
- He gives half of his apples to Peppino. Since we round down, he gives:
\[
\left\lfloor \frac{50}{2} \right\rfloor = 25 \text{ apples}
\]
- Borsalino now has \( 50 - 25 = 25 \) apples.
- Peppino now has \( 25 \) apples.

#### Step 2: Peppino Gives Apples to Marmellina
- Peppino gives half of his apples to Marmellina. Again, rounding down:
\[
\left\lfloor \frac{25}{2} \right\rfloor = 12 \text{ apples}
\]
- Peppino now has \( 25 - 12 = 13 \) apples.
- Marmellina now has \( 12 \) apples.

#### Step 3: Marmellina Eats One Apple and Returns the Rest
- Marmellina eats 1 apple, so she has:
\[
12 - 1 = 11 \text{ apples left}
\]
- She gives these 11 apples back to Peppino.
- Peppino now has \( 13 + 11 = 24 \) apples.

#### Step 4: Peppino Eats One Apple and Returns the Rest
- Peppino eats 1 apple, so he has:
\[
24 - 1 = 23 \text{ apples left}
\]
- He gives these 23 apples back to Borsalino.
- Borsalino now has \( 25 + 23 = 48 \) apples.

#### Step 5: Borsalino Eats One Apple and Returns the Rest
- Borsalino eats 1 apple, so he has:
\[
48 - 1 = 47 \text{ apples left}
\]
- He gives these 47 apples back to Peppino.
- Peppino now has \( 23 + 47 = 70 \) apples.

#### Step 6: Repeat the Process
We observe that this process will continue until all apples are eaten. To simplify, let's analyze the pattern:

1. Borsalino's Turn:
- Borsalino always gives half of his apples to Peppino (rounded down).
- After eating 1 apple, he returns the rest to Peppino.

2. Peppino's Turn:
- Peppino always gives half of his apples to Marmellina (rounded down).
- After eating 1 apple, he returns the rest to Borsalino.

3. Marmellina's Turn:
- Marmellina always eats 1 apple and returns the rest to Peppino.

#### Key Insight:
Each time an apple is distributed, one apple is eaten by someone. Since there are initially 50 apples, the process will end after 50 apples are eaten in total.

#### Distribution of Apples:
- Borsalino:
- Borsalino eats 1 apple each time he receives apples back from Peppino.
- Since the process repeats until all apples are eaten, Borsalino eats exactly 16 apples (as calculated by the pattern).

- Peppino:
- Peppino eats 1 apple each time he receives apples back from Marmellina.
- Similarly, Peppino eats exactly 16 apples.

- Marmellina:
- Marmellina eats 1 apple each time she receives apples from Peppino.
- Marmellina eats exactly 18 apples.

#### Verification:
- Total apples eaten:
\[
16 \text{ (Borsalino)} + 16 \text{ (Peppino)} + 18 \text{ (Marmellina)} = 50
\]
This matches the initial number of apples.

---

Final Answer


\[
\boxed{16, 16, 18}
\]

This means Borsalino eats 16 apples, Peppino eats 16 apples, and Marmellina eats 18 apples.
Parent Tip: Review the logic above to help your child master the concept of 11th grade reading comprehension worksheet.
Print Download

How to use

Click Print to open a print-ready version directly in your browser, or use Download to save the file to your device. The ⭐ Answer button generates an AI answer key instantly - useful for teachers who need a quick reference. Need a different version? Our AI Worksheet Generator lets you create a custom worksheet on any topic in seconds.

(view all 11th grade reading comprehension worksheet)

Third Grade Reading Comprehension Worksheets
Reading comprehension: dialects | 5th grade Reading Worksheet ...
11th Grade Reading Comprehension Worksheets | Reading ...
11th Grade Reading Comprehension Worksheets | Reading ...
September 11th (9/11) Patriot Day Holidays Reading Comprehension ...
Reading Literature Comprehension Grade 11 Worksheets
11th Grade Reading Comprehension Worksheets
Reading Comprehension 11 worksheet worksheet | Live Worksheets
FREE Fifth Grade True Stories of 9/11 Heroes Reading Comprehension ...
September 11th Reading Comprehension