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)

A. subtraction and division

B. addition and division

C. addition and multiplication

D. subtraction and multiplication

1 answer

To determine how many stickers Reann started with, let's denote the number of stickers she started with as \( x \).

  1. Reann gives her friend half of her stickers: This means she gives away \( \frac{x}{2} \), so she now has \( x - \frac{x}{2} = \frac{x}{2} \).
  2. Then her brother gives her 8 stickers: Now she has \( \frac{x}{2} + 8 \).
  3. We know that she ends up with 12 stickers:

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

To solve for \( x \):

  • First, we subtract 8 from both sides:

\[ \frac{x}{2} = 12 - 8 \] \[ \frac{x}{2} = 4 \]

  • Then, we multiply both sides by 2 to solve for \( x \):

\[ x = 4 \times 2 \] \[ x = 8 \]

In summary, the operations needed to solve this problem are:

  • Division (to find half of her stickers).
  • Addition (to add the stickers her brother gives her, and to set up the equation with the total).

Thus, the correct answer is B. addition and division.