Sailly scored a total point of `4b+12` point in the certain basketball game. She scored the same number of point in each of the game's 4 periods. In term of b, how many points did she scored in each point?

Options

A. `b+3`
B. `b+12`
C. `4b+12`
D. `16b+48`

Answer

To find out how many points Sailly scored in each period, we can follow these steps:

1. **Define the total score**: Sailly scored a total of \(4b + 12\) points in the game.

2. **Assume points per period**: Let \(x\) be the number of points Sailly scored in each of the 4 periods.

3. **Express total points in terms of \(x\)**: Since she scored the same number of points in each period, the total points can be expressed as:
\[ \text{Total points} = x + x + x + x = 4x \]

4. **Set up the equation**: According to the problem, the total points scored is equal to \(4b + 12\). Therefore, we can write the equation:
\[ 4x = 4b + 12 \]

5. **Solve for \(x\)**: To find \(x\), divide both sides of the equation by 4:
\[ x = \frac{4b + 12}{4} \]

6. **Simplify the expression**: Simplifying the right side gives:
\[ x = b + 3 \]

Thus, Sailly scored \(b + 3\) points in each period.