Pregunta
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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

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Qara began with 22 books.

Solución

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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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.

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