Pregunta
Mai had 120 game cards. She bought \( 25 \% \) more cards. Mai then gave \( 40 \% \) of the cards to her brother. a Find the number of cards after she bought more. b Find the number of cards Mai had left after she gave some to her brother.
Ask by Mann George. in the United States
Jan 22,2025
Solución de tutoría real
Respuesta verificada por el tutor
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**a) Mai has 150 cards after buying more.**
**b) Mai has 90 cards left after giving some to her brother.**
Solución
Let's solve the problem step by step.
**Given:**
- Mai initially has **120** game cards.
- She buys **25%** more cards.
- She then gives **40%** of her total cards to her brother.
### a) Number of Cards After She Bought More
1. **Calculate 25% of the initial cards:**
\[
25\% \text{ of } 120 = 0.25 \times 120 = 30 \text{ cards}
\]
2. **Add the additional cards to the initial number:**
\[
120 \text{ cards} + 30 \text{ cards} = 150 \text{ cards}
\]
**Answer:** Mai has **150 cards** after buying more.
### b) Number of Cards Left After Giving Some to Her Brother
1. **Calculate 40% of the total cards (150) that she gives to her brother:**
\[
40\% \text{ of } 150 = 0.40 \times 150 = 60 \text{ cards}
\]
2. **Subtract the given cards from the total to find the remaining cards:**
\[
150 \text{ cards} - 60 \text{ cards} = 90 \text{ cards}
\]
**Answer:** Mai has **90 cards** left after giving some to her brother.
---
**Summary:**
- **a)** After purchasing more, Mai has **150 cards**.
- **b)** After giving away 40%, she is left with **90 cards**.
Revisado y aprobado por el equipo de tutoría de UpStudy
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Bonus Knowledge
Mai initially had 120 game cards. When she bought 25% more cards, she added \( 120 \times 0.25 = 30 \) cards. So, after her purchase, she had \( 120 + 30 = 150 \) cards. After that, she gave away 40% of her 150 cards to her brother. This amounts to \( 150 \times 0.40 = 60 \) cards. Therefore, the number of cards Mai had left after this was \( 150 - 60 = 90 \) cards.
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