On the first day of vacation, you read one-quarter of a novel. On the second day, you read half of the remaining pages. On the third day, you read the last 126 pages of the novel. how many pages did you read on the second day?

To find out how many pages you read on the second day, let's follow the steps provided:

1. **Let \( x \) be the total number of pages in the novel.**

2. **On the first day, you read one-quarter of the novel:**

   \[
   \text{Pages read on the first day} = \frac{x}{4}
   \]
   
   \[
   \text{Remaining pages after the first day} = x - \frac{x}{4} = \frac{3x}{4}
   \]

3. **On the second day, you read half of the remaining pages:**

   The number of pages read on the second day is:
   
   \[
   \text{Pages read on the second day} = \frac{1}{2} \times \frac{3x}{4} = \frac{3x}{8}
   \]

   \[
   \text{Remaining pages after the second day} = \frac{3x}{4} - \frac{3x}{8} = \frac{3x}{8}
   \]

4. **On the third day, you read the last 126 pages, which equals the remaining pages:**

   \[
   \frac{3x}{8} = 126
   \]

5. **Solving for \( x \):**

   \[
   3x = 126 \times 8
   \]
   
   \[
   3x = 1008
   \]
   
   \[
   x = \frac{1008}{3}
   \]
   
   \[
   x = 336
   \]

   So, the total number of pages in the novel is 336.

6. **Now, find the number of pages read on the second day:**

   \[
   \text{Pages read on the second day} = \frac{3x}{8} = \frac{3 \times 336}{8}
   \]
   
   \[
   \text{Pages read on the second day} = \frac{1008}{8}
   \]
   
   \[
   \text{Pages read on the second day} = 126
   \]

Therefore, you read **126 pages on the second day**.

Would you like more details or have any questions?

### Related Questions:

1. How many pages did you read on the first day?
2. What fraction of the novel did you read each day?
3. How many more pages did you read on the third day compared to the first day?
4. If you had read one-third of the novel on the first day, how many pages would be left after the first day?
5. What would be the new total if the novel had 50 more pages?

### Tip:

Always double-check your steps by substituting the values back into the equations to verify your solution.

Learn how to calculate the number of pages read on the second day of vacation with a detailed step-by-step solution. This problem involves fractions and arithmetic operations applied to a novel reading scenario. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation