### Instruction: Grandma gave Bryce and Carter some raisins. Bryce received 6 more raisins than Carter, and Carter received half the number of raisins Bryce received. How many raisins did Bryce receive?### Response: This problem involves finding the relationship between the number of raisins Bryce and Carter received.
Let's use a variable to represent the number of raisins Bryce received, say b.
Then, Carter received half of b, so we can write that as b/2.
Bryce also received 6 more raisins than Carter, so we can write that as b = b/2 + 6.
This is an equation that we can solve for b by subtracting b/2 from both sides.
We get b/2 = 6, and then multiplying both sides by 2, we get b = 12.
So, Bryce received 12 raisins.