Problem
B.5 Additive property of length 7RA $R$ is a point on segment $\overline{Q S}$. If $Q R=8 x, R S=x+10$, and $Q S=5 x+18$, what is $Q R$ ? Simplify your answer and write it as a proper fraction, mixed number, or integer. Submit
Solution
Step 1 ：The problem is asking for the length of segment QR. We know that QR + RS = QS due to the additive property of length.
Step 2 ：We can set up an equation using the given lengths: \(8x + x + 10 = 5x + 18\).
Step 3 ：Solving this equation gives us the value of x as 2.
Step 4 ：Substituting x = 2 back into the expression for QR gives us \(QR = 8x = 16\).
Step 5 ：\(\boxed{16}\) is the final answer.
