SOLUTION: Jay Leno's collection of cars and motorcycles totals 187. When checks the air in the tires he has 588 tires to check. How many cars and how many motorcycles does he own? Assume tha

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Jay Leno's collection of cars and motorcycles totals 187. When checks the air in the tires he has 588 tires to check. How many cars and how many motorcycles does he own? Assume tha      Log On


   

Question 271351: Jay Leno's collection of cars and motorcycles totals 187. When checks the air in the tires he has 588 tires to check. How many cars and how many motorcycles does he own? Assume that the cars all have four tires and the motorcycles have two.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
4C+2M=588
C+M=187 OR C=187-M
4(187-M)+2M=588
748-4M+2M=588
-2M=588-748
-2M=-160
M=-160/-2
M=80 MOTORCYCLES.
C=187-80
C=107 CARS.
PROOF:
4*107+2*80=588
428+160=588
588=588