Question 133958
let x="semiprivate rooms" and y="private rooms"


"18 more people in semiprivate rooms (two patients to a room) than in private rooms"
__ 2x=y+18 __ 2x-18=y


" total receipts for rooms is $17,400 per day when all are full"
__ 300x+200y=17400 __ 3x+2y=174


substituting __ 3x+2(2x-18)=174 __ 3x+4x-36=174 __ 7x=210 __ x=30


substituting __ y=2x-18 __ y=2(30)-18 __ y=42