20% of the eggs at a stall are large, 25% of the remaining ones are medium and the rest are small. If there are 800 eggs altogether, how much does the egg seller collect if he sells all the eggs? FOX00 10¢ 13¢ 16¢ small medium large 08240137
20% of the eggs at a stall are large, 25% of the remaining ones are medium and the rest are small. If there are 800 eggs altogether, how much does the egg seller collect if he sells all the eggs? FOX00 10¢ 13¢ 16¢ small medium large 08240137
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
He’s down stairs
![**Egg Seller Pricing Problem**
**Problem Statement:**
20% of the eggs at a stall are large, 25% of the remaining ones are medium, and the rest are small. If there are 800 eggs altogether, how much does the egg seller collect if he sells all the eggs?
**Illustration of Pricing:**
The eggs are categorized and priced as follows:
- Small: 10¢ each
- Medium: 13¢ each
- Large: 16¢ each
**Solution:**
1. **Determine the number of large eggs:**
20% of 800 eggs are large.
\[
0.20 \times 800 = 160 \text{ large eggs}
\]
2. **Determine the number of medium eggs:**
After removing the large eggs, 640 eggs remain (800 - 160).
25% of these remaining eggs are medium.
\[
0.25 \times 640 = 160 \text{ medium eggs}
\]
3. **Determine the number of small eggs:**
The rest of the eggs are small.
Total small eggs = Total eggs - Large eggs - Medium eggs.
\[
800 - 160 - 160 = 480 \text{ small eggs}
\]
4. **Calculate total collection:**
- Collection from small eggs:
\[
480 \times \$0.10 = \$48.00
\]
- Collection from medium eggs:
\[
160 \times \$0.13 = \$20.80
\]
- Collection from large eggs:
\[
160 \times \$0.16 = \$25.60
\]
Total collection:
\[
\$48.00 + \$20.80 + \$25.60 = \$94.40
\]
Therefore, the egg seller collects **\$94.40** if he sells all the eggs.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc32441ce-3909-4702-8424-919c30f04b66%2F5e9197f9-73bb-4b31-bf48-0fd4988ce1c8%2Fiip2q54_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Egg Seller Pricing Problem**
**Problem Statement:**
20% of the eggs at a stall are large, 25% of the remaining ones are medium, and the rest are small. If there are 800 eggs altogether, how much does the egg seller collect if he sells all the eggs?
**Illustration of Pricing:**
The eggs are categorized and priced as follows:
- Small: 10¢ each
- Medium: 13¢ each
- Large: 16¢ each
**Solution:**
1. **Determine the number of large eggs:**
20% of 800 eggs are large.
\[
0.20 \times 800 = 160 \text{ large eggs}
\]
2. **Determine the number of medium eggs:**
After removing the large eggs, 640 eggs remain (800 - 160).
25% of these remaining eggs are medium.
\[
0.25 \times 640 = 160 \text{ medium eggs}
\]
3. **Determine the number of small eggs:**
The rest of the eggs are small.
Total small eggs = Total eggs - Large eggs - Medium eggs.
\[
800 - 160 - 160 = 480 \text{ small eggs}
\]
4. **Calculate total collection:**
- Collection from small eggs:
\[
480 \times \$0.10 = \$48.00
\]
- Collection from medium eggs:
\[
160 \times \$0.13 = \$20.80
\]
- Collection from large eggs:
\[
160 \times \$0.16 = \$25.60
\]
Total collection:
\[
\$48.00 + \$20.80 + \$25.60 = \$94.40
\]
Therefore, the egg seller collects **\$94.40** if he sells all the eggs.
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