Question

In basketball, each shot made is worth 1, 2, or 3 points. Miles scored a total of 27 points in his most recent game. He made three 1-point shots and four 3-point shots.



How many 2-point shots did he make?

Answer 1

To find out how many 2-point shots Miles made, we can start by calculating the total points he scored from the 1-point and 3-point shots.

1. Calculate the points from the 1-point shots:
\[
3 \text{ shots} \times 1 \text{ point} = 3 \text{ points}
\]

2. Calculate the points from the 3-point shots:
\[
4 \text{ shots} \times 3 \text{ points} = 12 \text{ points}
\]

3. Now, add the points from the 1-point and 3-point shots:
\[
3 \text{ points} + 12 \text{ points} = 15 \text{ points}
\]

4. Miles scored a total of 27 points. So, the points he scored from the 2-point shots must be:
\[
27 \text{ points} - 15 \text{ points} = 12 \text{ points}
\]

5. Each 2-point shot is worth 2 points. Therefore, the number of 2-point shots he made is:
\[
\frac{12 \text{ points}}{2 \text{ points per shot}} = 6 \text{ shots}
\]

Thus, Miles made **6 two-point shots**.