Question
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3. Each page in Juan's collection album holds 9 cards. If Juan has 83 cards to display in his album, how many pages will he need? \( \begin{array}{llll}\text { A. } 9 & \text { B. } 10 & \text { C. } 20 & \text { D. } 30\end{array} \)

Ask by King Vargas. in the United States
Jan 24,2025

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Answer

Juan needs 10 pages to display all 83 cards. **Answer:** **B. 10**

Solution

To determine how many pages Juan needs for his 83 cards, given that each page holds 9 cards, follow these steps: 1. **Divide the total number of cards by the number of cards per page:** \[ \frac{83 \text{ cards}}{9 \text{ cards/page}} = 9 \text{ pages with a remainder of } 2 \text{ cards} \] 2. **Interpret the result:** - Juan can fill 9 pages completely with 81 cards (9 pages × 9 cards/page). - There are 2 cards remaining that still need a page. 3. **Add an additional page for the remaining cards:** \[ 9 \text{ pages} + 1 \text{ additional page} = 10 \text{ pages} \] **Therefore, Juan will need 10 pages to display all of his 83 cards.** **Answer:** **B. 10**

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Bonus Knowledge

To find out how many pages Juan will need for his 83 cards, we can divide the total number of cards by the number of cards that can fit on each page. So, \( 83 \div 9 = 9.22 \). Since Juan can't use a fraction of a page, he will need to round up to the nearest whole number, which is 10. Therefore, the correct answer is B. 10 pages. To double-check, multiply the number of pages (10) by the number of cards that fit on each page (9), and you get 90. This means Juan will have extra space on the last page, perfect for future card additions! It's always good to have a bit of wiggle room in card collections.

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