Let's solve the problem step by step.
Let \( x \) be the number of stickers Reann started with.
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She gives her friend half of her stickers, which means she gives away \( \frac{x}{2} \). After giving away the stickers, she has \( x - \frac{x}{2} = \frac{x}{2} \) left.
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Then, her brother gives her 8 new stickers, so now she has: \[ \frac{x}{2} + 8 \]
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We know that after all this, Reann ends up with 12 stickers: \[ \frac{x}{2} + 8 = 12 \]
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To find \( x \), we will solve the equation. First, we subtract 8 from both sides: \[ \frac{x}{2} = 12 - 8 \] \[ \frac{x}{2} = 4 \]
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Now, we multiply both sides by 2 to solve for \( x \): \[ x = 4 \times 2 \] \[ x = 8 \]
So, Reann started with 8 stickers.
Now, let's identify the operations needed to solve this problem:
- Subtraction (to find out how many stickers she has left after giving away half)
- Addition (to account for the 8 stickers her brother gives her)
- Division (to calculate half of her original amount of stickers)
Thus, the operations used are subtraction and addition, with division for calculating half.
The correct response from the options provided would be: subtraction and addition.
However, since this specific option might not have been listed, if we specifically focus on the arithmetic operations used to create the equation and solve for \( x \), it includes subtraction and division as those were the main pieces used in setting up the equation. Therefore the most relevant answer from your choices seems to be:
subtraction and division.