Reann has stickers. She gives her friend half, and then her brother gives her 8 new ones. She ends up with 12 stickers. How many did she start with? Identify the operations needed to solve this problem.(1 point)

Responses

subtraction and division
subtraction and division

subtraction and multiplication
subtraction and multiplication

addition and multiplication
addition and multiplication

addition and division

1 answer

To solve the problem, let's define the number of stickers Reann started with as \( x \).

  1. She gives her friend half: This means she has \( \frac{x}{2} \) stickers left after giving away half.

  2. Her brother gives her 8 new stickers: Now, she has \( \frac{x}{2} + 8 \) stickers.

  3. She ends up with 12 stickers: We can set up the equation:

    \[ \frac{x}{2} + 8 = 12 \]

To solve this equation, you would need to perform:

  • Subtraction (to isolate \( \frac{x}{2} \)): \( \frac{x}{2} = 12 - 8 \)
  • Multiplication (to solve for \( x \)): Multiply both sides by 2 to get \( x = 4 \times 2 \).

Thus, the operations needed to solve this problem are subtraction and multiplication.

The correct response is: subtraction and multiplication.