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

addition and multiplication
addition and multiplication

subtraction and multiplication
subtraction and multiplication

subtraction and division
subtraction and division

addition and division

1 answer

To solve the problem, we need to identify the initial number of stickers Reann had. Let's break down the situation step by step:

  1. Let \( x \) be the number of stickers Reann started with.
  2. She gives half of them to her friend, so she has \( \frac{x}{2} \) left.
  3. Her brother then gives her 8 stickers, so she now has \( \frac{x}{2} + 8 \).
  4. We're told that she ends up with 12 stickers, which gives us the equation:

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

To solve this equation, we will perform subtraction and multiplication:

  1. Subtract 8 from both sides: \[ \frac{x}{2} = 4 \]

  2. Then, multiply both sides by 2 to find \( x \): \[ x = 8 \]

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

The correct response would be:

subtraction and multiplication