Question 1170460: Triad’s Car Rental charges $65/day, plus $0.20/km for a luxury car while Karr’s Car Rental charges $30/day,plus $0.55/km for a luxury car. When is the cost to rent a luxury car the same?
Answer by akumpo(8)   (Show Source):
You can put this solution on YOUR website! Using system of equations, where x is the number of km and y is the cost
65+0.2x=y
30+0.55x=y
Move the x variable to the other side to get:
y-0.2x=65
y-0.55x=30
Subtract the two equations to get rid of the y variable to get:
0.35x=35
Divide both side by 0.35 to get x=100
Plugging x into our equations, 65+0.2*100=65+20=85, 30+0.55*100=30+55=85
So the cost of renting a luxury at the same price for both companies is when you travel for 100km, or when the price is $85.
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