SOLUTION: On a 6 day trip, michael schmitz rented a car for $53 per day at weekday rates and $35 per day at weekend rates. If his total bill was $265, how many days did he rent at each rate?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: On a 6 day trip, michael schmitz rented a car for $53 per day at weekday rates and $35 per day at weekend rates. If his total bill was $265, how many days did he rent at each rate?      Log On


   

Question 836881: On a 6 day trip, michael schmitz rented a car for $53 per day at weekday rates and $35 per day at weekend rates. If his total bill was $265, how many days did he rent at each rate?
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
The six-day trip should indicate that he rented for 5 weekdays and 1 weekend-day. Does that work when given the second part of having spent $265?

5*53+1*35=300; NO.
This does not match $265.

Try variables.
x = how many weekdays
y = how many weekend days

x%2By=6
and
53x%2B35y=265
-
-
y=6-x;
53x%2B35%286-x%29=265
53x%2B210-35x=265
53x-35x=55
18x=55
x=55%2F18=3.06, appears to make poor or no sense.

Possible, he spent all six days as weekdays with no weekends, but this also makes poor sense.