Pregunta
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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

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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**.

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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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