A desk and a chair cost $200 as a set. If the desk costs four times more than the chair, how much does each one cost. Write and solve using a system of equations.

Question

A desk and a chair cost $200 as a set.  If the desk costs four times more than the chair, how much does each one cost.  Write and solve using a system of equations.

Chelle · Answer

d = desk c = chair Equation: d + c = 200 d = 4c

PsyDAG · Answer

Substitute 4c for d in first equation and solve for c. Insert that value into the second equation and solve for d. Check by inserting both values into the first equation.