SOLUTION: A motel in New Orleans charges $90 per day for double occupancy and $80 per day for single occupancy. If 80 rooms are occupied for a total of $6930, how many rooms of each kind ar

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Question 1071931: A motel in New Orleans charges $90 per day for double occupancy and $80 per day for single occupancy. If 80 rooms are occupied for a total of $6930, how many rooms of each kind are there?
Answer by ikleyn(52817) About Me  (Show Source):
You can put this solution on YOUR website!
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You math model is this system of two linear equations in two unknowns

  x +   y =   80,     (1)
90x + 80y = 6930.     (2)


Can you solve it ?

Do you know how to solve it ?


HINT: express x = 80 - y from (1) and then substitute it into (2) replacing x.


You will obtain a single equation for y, which you can easily solve.


This is "the Substitution method".