| { | |
| "problem": "Find the coordinates of the point halfway between the points $(3,7)$ and $(5,1)$.", | |
| "level": "Level 2", | |
| "type": "Algebra", | |
| "solution": "If the coordinates of the point halfway between the two points are $(x,y)$, then $x$ must be the average of the $x$-coordinates $3$ and $5$ and $y$ must be the average of the $y$-coordinates $7$ and $1$. The average of $3$ and $5$ is $\\frac{3+5}{2}=4$ and the average of $7$ and $1$ is $\\frac{7+1}{2}=4$, so the $(x,y) = \\boxed{(4,4)}$." | |
| } |