Thread: Simultaneous equations

A businessperson hires a stretch limousine for 2 days and a sedan for 3 days while on an interstate trip. If the total car hire cost of the trip was $675, and the limousing cost triple the price of the sedan, find the cost per day of the limousine.

assume limo to be x
assume sedan to be y
limo costs triple sedan ----- that gives x = 3y
and limo for 2 days and sedan for 3 days costs 675
--- that gives 2x +3y = 675
solve these 2 equations
6y + 3y = 675
y = 75
there fore x = 225 -- the cost of limo

...of course, it's so simple. Thanks!