Answer:
B. $466
Step-by-step explanation:
[tex]\textsf{let}\: x= \textsf{Lydia's salary}[/tex]
[tex]\implies \textsf{rent}=\dfrac{1}{2}x[/tex]
Modelling the given information to find the total salary:
[tex]\implies \left(x-\dfrac{1}{2}x-168\right)-\dfrac{x-\frac{1}{2}x-168}{2}-57=92[/tex]
[tex]\implies \dfrac{1}{2}x-168-\dfrac{\frac{1}{2}x-168}{2}-57=92[/tex]
[tex]\implies \dfrac{1}{2}x-\dfrac{\frac{1}{2}x-168}{2}=317[/tex]
[tex]\implies x-(\frac{1}{2}x-168)=634[/tex]
[tex]\implies x-\frac{1}{2}x+168=634[/tex]
[tex]\implies \dfrac{1}{2}x=466[/tex]
[tex]\implies x=932[/tex]
Therefore, Lydia's total salary was $932
[tex]\implies \textsf{rent}=\dfrac{1}{2}(932)=\$466[/tex]
