We will solve this problem using a system of linear equations.
[tex]\text{Let D=dresser's cost and N=nightstand's cost}[/tex]We are given the following relationship between the variables
[tex]\begin{gathered} D+N=900,\text{ (1)} \\ D=N+150,\text{ (2)} \end{gathered}[/tex]Replacing the value of D from equation (2) in equation (1)
[tex]N+150+N=900[/tex]Solving for N
[tex]\begin{gathered} 2N+150=900 \\ 2N=900-150 \\ 2N=750 \\ N=\frac{750}{2}=375 \end{gathered}[/tex]Replacing the value of N in equation (2)
[tex]\begin{gathered} D=375+150 \\ D=525 \end{gathered}[/tex]The answer is the nightstand costs $375 and the Dresser costs $525
