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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 multiplication
subtraction and multiplication

addition and division
addition and division

addition and multiplication
addition and multiplication

subtraction and division

1 answer

To solve the problem, we need to first let \( x \) be the number of stickers Reann started with. The steps are as follows:

  1. Reann gives half of her stickers to her friend. After giving away half, she has \( \frac{x}{2} \) stickers left.
  2. Her brother then gives her 8 new stickers. Thus, she now has \( \frac{x}{2} + 8 \) stickers.
  3. She ends up with 12 stickers.

So, we can set up the equation: \[ \frac{x}{2} + 8 = 12 \] Now, we will solve for \( x \):

  1. Subtract 8 from both sides:
    \(\frac{x}{2} = 12 - 8\)
    \(\frac{x}{2} = 4\)
  2. Multiply both sides by 2:
    \(x = 8\)

Since we used subtraction (to remove 8) and multiplication (to find \( x \) by multiplying both sides by 2), the correct operations to identify in solving the problem are:

subtraction and multiplication.

So the correct response is: subtraction and multiplication.