Question
math problem involving percentages of remainders
Answers
GPT-4o mini
Sure! Let's create a math problem involving percentages and remainders.
---
**Problem:**
A teacher has a collection of 120 pens. At the end of the semester, she decides to give 30% of her pens to her students as rewards. After distributing the pens, she finds out that she is left with a certain number of pens.
1. How many pens does she give away?
2. How many pens does she have remaining?
3. What percentage of the original number of pens does she have left?
---
**Solution:**
1. **Calculating the number of pens given away:**
To find out how many pens she gives away, we calculate 30% of 120 pens:
\[
\text{Pens given away} = 30\% \text{ of } 120 = \frac{30}{100} \times 120 = 36 \text{ pens}
\]
2. **Calculating the number of pens remaining:**
To find out how many pens she has left after giving 36 pens away:
\[
\text{Pens remaining} = 120 - 36 = 84 \text{ pens}
\]
3. **Calculating the percentage of the original number of pens remaining:**
To find the percentage of the original number of pens remaining:
\[
\text{Percentage remaining} = \left(\frac{84}{120}\right) \times 100 = 70\%
\]
---
**Final Answers:**
1. The teacher gives away **36 pens**.
2. She has **84 pens** remaining.
3. This is **70%** of the original number of pens.
---
Let me know if you would like another problem or have any other questions!
---
**Problem:**
A teacher has a collection of 120 pens. At the end of the semester, she decides to give 30% of her pens to her students as rewards. After distributing the pens, she finds out that she is left with a certain number of pens.
1. How many pens does she give away?
2. How many pens does she have remaining?
3. What percentage of the original number of pens does she have left?
---
**Solution:**
1. **Calculating the number of pens given away:**
To find out how many pens she gives away, we calculate 30% of 120 pens:
\[
\text{Pens given away} = 30\% \text{ of } 120 = \frac{30}{100} \times 120 = 36 \text{ pens}
\]
2. **Calculating the number of pens remaining:**
To find out how many pens she has left after giving 36 pens away:
\[
\text{Pens remaining} = 120 - 36 = 84 \text{ pens}
\]
3. **Calculating the percentage of the original number of pens remaining:**
To find the percentage of the original number of pens remaining:
\[
\text{Percentage remaining} = \left(\frac{84}{120}\right) \times 100 = 70\%
\]
---
**Final Answers:**
1. The teacher gives away **36 pens**.
2. She has **84 pens** remaining.
3. This is **70%** of the original number of pens.
---
Let me know if you would like another problem or have any other questions!