Math Problem Statement

How many books can Mr. Wallis read in 60 days, given the provided table with a proportional relationship between books and days?

Solution

To solve this problem, let's analyze the proportional relationships in the table.

  1. We know that reading 2 books takes 10 days, so the rate of reading is:

    2 books10 days=0.2 books per day\frac{2 \text{ books}}{10 \text{ days}} = 0.2 \text{ books per day}

  2. We can confirm this rate by calculating other entries in the table:

    • For 10 books in 50 days, the rate is 1050=0.2\frac{10}{50} = 0.2 books per day, which matches.

    • For 60 days, using the same rate, the number of books read is:

      60×0.2=12 books60 \times 0.2 = 12 \text{ books}

  3. Now, to determine how many books can be read in 60 days, we continue with the established rate:

    60×0.2=12 books60 \times 0.2 = 12 \text{ books}

Answer

Mr. Wallis can read 12 books in 60 days.

Would you like a detailed explanation of how each entry in the table is calculated, or do you have other questions?

Related Questions

  1. How many books would Mr. Wallis read in 90 days at this rate?
  2. If Mr. Wallis increased his reading rate to 0.3 books per day, how many books could he read in 60 days?
  3. How many days would it take to read 20 books at the current rate?
  4. What would be the reading rate if he read 5 books in 15 days?
  5. If he had only 30 days, how many books could he read?

Tip

When working with proportional reasoning, setting up a unit rate first (like books per day) can simplify solving for any other quantities in the relationship.

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Math Problem Analysis

Mathematical Concepts

Proportional Reasoning
Unit Rates

Formulas

books per day = number of books / number of days
total books = days * (books per day)

Theorems

Direct Proportion

Suitable Grade Level

Grades 6-8