To solve the problem, we can break it down into a series of arithmetic operations. Let's define the number of stickers Rita initially had as \( x \).
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Giving Half Away: Rita gives half of her stickers to her friend, so she has: \[ \frac{x}{2} \] remaining after giving away half.
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Receiving Stickers from Brother: After receiving 8 stickers from her brother, the number of stickers Rita has becomes: \[ \frac{x}{2} + 8 \]
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Ending Up with a Final Amount: We know that after these transactions, Rita ends up with 12 stickers. Therefore, we can set up the equation: \[ \frac{x}{2} + 8 = 12 \]
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Solving the Equation: To find \( x \), we need to isolate it. We can start by subtracting 8 from both sides: \[ \frac{x}{2} = 12 - 8 \] \[ \frac{x}{2} = 4 \]
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Multiplying Both Sides: Next, we multiply both sides by 2 to get \( x \): \[ x = 4 \times 2 \] \[ x = 8 \]
So, the arithmetic operations involved in solving this problem are:
- Division: To find half of the stickers.
- Addition: For adding the stickers her brother gave her.
- Subtraction: To rearrange the equation.
- Multiplication: To solve for the initial number of stickers.
Thus, to summarize the operations used: Division, Addition, Subtraction, and Multiplication.
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