Question
(10) A bookshelf has 80 books on it. There are 28 English books, 32 Mathematics books and the rest are Science books. Find the percentage of (a) English books, (b) Mathematics books, (c) Science books on the bookshelf.
Ask by Estrada Morrison. in Indonesia
Feb 03,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
- **English books:** 35%
- **Mathematics books:** 40%
- **Science books:** 25%
Solution
To determine the percentage of each category of books on the bookshelf, we'll follow these steps:
1. **Find the total number of each type of book:**
- **English books:** 28
- **Mathematics books:** 32
- **Science books:** Total books - (English books + Mathematics books)
\( 80 - (28 + 32) = 80 - 60 = 20 \)
2. **Calculate the percentage for each category:**
The formula to find the percentage is:
\[
\text{Percentage} = \left( \frac{\text{Number of specific books}}{\text{Total number of books}} \right) \times 100\%
\]
a) **English books:**
\[
\left( \frac{28}{80} \right) \times 100\% = 35\%
\]
b) **Mathematics books:**
\[
\left( \frac{32}{80} \right) \times 100\% = 40\%
\]
c) **Science books:**
\[
\left( \frac{20}{80} \right) \times 100\% = 25\%
\]
**Summary of Percentages:**
- **English books:** 35%
- **Mathematics books:** 40%
- **Science books:** 25%
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution Beyond the Answer
To find the percentage of each category of books, you'll first need to determine how many Science books there are. Since there are 80 total books and 28 English and 32 Mathematics books, the number of Science books is: 80 - (28 + 32) = 80 - 60 = 20 Science books. Now, you can calculate the percentages: (a) Percentage of English books: (28 / 80) × 100 = 35%. (b) Percentage of Mathematics books: (32 / 80) × 100 = 40%. (c) Percentage of Science books: (20 / 80) × 100 = 25%. So, the percentages are: - English books: 35% - Mathematics books: 40% - Science books: 25%
