Question
Qara sold half of her comle books and then bought 6 more. she now has 17 . How many did she begin with?
Ask by Conner Wilson. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Qara began with 22 books.
Solution
1. Let \( x \) be the number of books Qara began with.
2. She sold half of her books, so she had \(\frac{x}{2}\) books remaining.
3. Then, she bought 6 more books, making the total \(\frac{x}{2} + 6\).
4. According to the problem, she now has 17 books. Thus, we have the equation:
\[
\frac{x}{2} + 6 = 17
\]
5. Subtract 6 from both sides:
\[
\frac{x}{2} = 11
\]
6. Multiply both sides by 2:
\[
x = 22
\]
Qara began with \( 22 \) books.
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Simplify this solution Beyond the Answer
Let’s solve this puzzle step by step! Qara sold half of her books and then added 6 more, resulting in a total of 17 books. So, before adding the 6 books, she must have had 17 - 6 = 11 books left. Since this amount represents half of the books she initially had, we can deduce that her original count was 11 * 2 = 22 books. Starting with 22 books, she sold half, leaving her with 11. Then, she bought 6 more, landing her at 17. Voilà! Qara began with 22 books.
