Problem 5: Sophie collects comic books. She starts with 30 comic books and receives 3 new ones each week. How many weeks will it take her to have 48 comic books in total?
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Let's solve this step by step. Sophie starts with 30 comic books and wants to reach 48 books total. She receives 3 new books each week. We need to find how many weeks it will take.
First, we need to find how many more books Sophie needs. She wants 48 books total and starts with 30 books. So we subtract: 48 minus 30 equals 18. Sophie needs 18 more books.
Now for step 2. We divide the 18 books needed by the 3 books Sophie receives each week. 18 divided by 3 equals 6. Therefore, it will take Sophie exactly 6 weeks to reach her goal of 48 comic books.
Let's verify our answer step by step. Sophie starts with 30 books. After week 1, she has 33 books. After week 2, she has 36 books. Week 3 brings her to 39 books. Week 4 gives her 42 books. Week 5 results in 45 books. Finally, after week 6, she reaches exactly 48 books, confirming our answer is correct.
In conclusion, Sophie will need exactly 6 weeks to reach her goal of 48 comic books. We calculated this by finding she needs 18 more books, then dividing by the 3 books she receives each week. Our verification confirmed that after 6 weeks, she will have exactly 48 books total.