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)
To solve this problem, the following operations are needed:
1. Divide the total number of stickers (12) by 2 to find out how many stickers Reann had after giving half to her friend.
2. Subtract the number of stickers given by her brother (8) from the result of the first operation to determine how many stickers she had initially.
To solve this problem, we need to perform the following operations:
1. Divide the original number of stickers by 2 to find the number that Reann gives to her friend.
2. Add 8 to the number her brother gives her.
3. The sum of the number given to her brother and the number given by her brother should equal 12.
Let's represent the original number of stickers as "x".
The operations can be summarized as follows:
1. x / 2 = stickers given to her friend.
2. stickers given to her friend + 8 = stickers after her brother gives her new ones.
3. stickers given to her friend + 8 = 12.
By solving this system of equations, we can find the original number of stickers, x.
To find the number of stickers Reann started with, we can use reverse operations.
Let's represent the unknown number of stickers Reann started with as "x".
According to the problem, she gives her friend half of the stickers, which means she is left with "x/2" stickers.
After that, her brother gives her 8 new stickers, so the total number of stickers becomes "x/2 + 8".
Finally, we are given that Reann ends up with 12 stickers, so we can set up the equation:
x/2 + 8 = 12
To solve this equation, we need to isolate x by performing the inverse operations.
First, let's subtract 8 from both sides of the equation to get:
x/2 = 12 - 8
Simplifying further, we have:
x/2 = 4
To eliminate the fraction, we can multiply both sides of the equation by 2:
2 * (x/2) = 2 * 4
This gives us:
x = 8
Therefore, Reann started with 8 stickers.
The operations needed to solve this problem are:
1. Division: To find half of the stickers (x/2).
2. Addition: Her brother gives her 8 new stickers (x/2 + 8).
3. Subtraction: Subtracting 8 from both sides to isolate x (x/2 + 8 - 8).
4. Multiplication: Multiplying both sides by 2 to eliminate the fraction (2 * (x/2)).