Math Problem Statement

Juma was reading a novel that had 400 pages. He read 1/5 on day one and 3/10 of the remainder on day two. How many pages were left by the endo to day two

Solution

Let's break down the problem step by step:

Step 1: Pages read on day one

Juma read 15\frac{1}{5} of the 400-page novel on day one.

Pages read on day one=15×400=80 pages\text{Pages read on day one} = \frac{1}{5} \times 400 = 80 \text{ pages}

Step 2: Remaining pages after day one

After day one, the number of pages left is:

Remaining pages after day one=40080=320 pages\text{Remaining pages after day one} = 400 - 80 = 320 \text{ pages}

Step 3: Pages read on day two

Juma read 310\frac{3}{10} of the remaining 320 pages on day two.

Pages read on day two=310×320=96 pages\text{Pages read on day two} = \frac{3}{10} \times 320 = 96 \text{ pages}

Step 4: Remaining pages after day two

After day two, the number of pages left is:

Remaining pages after day two=32096=224 pages\text{Remaining pages after day two} = 320 - 96 = 224 \text{ pages}

Final Answer:

By the end of day two, 224 pages were left in the novel.


Would you like a more detailed explanation of any step? Or perhaps a related question?

  1. How many pages did Juma read in total by the end of day two?
  2. What fraction of the book did Juma read by the end of day two?
  3. If Juma had read the same amount each day, how many pages would he have read by day two?
  4. How much of the book is left after day two compared to day one?
  5. If Juma reads 110\frac{1}{10} of the remainder on day three, how many pages will be left after day three?

Tip: When working with fractions of quantities, always subtract the read amount from the total to find the remainder.

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Math Problem Analysis

Mathematical Concepts

Fractions
Arithmetic Operations
Word Problems

Formulas

Fraction of a number: (Fraction) * Total quantity
Subtraction of numbers: Total - Amount read

Theorems

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Suitable Grade Level

Grades 5-7