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

addition and multiplication
addition and multiplication

subtraction and multiplication
subtraction and multiplication

addition and division

1 answer

To solve this problem, let's break it down step by step:

  1. Let \( x \) represent the number of stickers Reann started with.
  2. She gives her friend half of her stickers, so she has \( \frac{x}{2} \) stickers left.
  3. Her brother gives her 8 new stickers, so now she has \( \frac{x}{2} + 8 \).
  4. We know that this equals 12 stickers, forming the equation: \[ \frac{x}{2} + 8 = 12 \]

To solve for \( x \):

  1. First, subtract 8 from both sides: \[ \frac{x}{2} = 4 \]
  2. Then, multiply both sides by 2 to solve for \( x \): \[ x = 8 \]

Now let's identify the operations used:

  • We used subtraction (to eliminate the 8) and division (to find how many stickers she had after giving half to her friend).

So, the correct response is: subtraction and division.