SOLUTION: In a parking lot, there are atleast one car and atleast one motorcycle. If there are 54 wheels in all, what is the most number of cars that can be in the parking lot?

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Question 973753: In a parking lot, there are atleast one car and atleast one motorcycle. If there are 54 wheels in all, what is the most number of cars that can be in the parking lot?
Answer by josgarithmetic(39616) About Me  (Show Source):
You can put this solution on YOUR website!
2 w/m
4 w/c
x, how many motorcycles
y, how many cars


The first equation accounts for the number of wheels.
system%282%2Ax%2B4%2Ay=54%2Cx%3E=1%2Cy%3E=1%29

You want the largest whole number for y in the system.
x%2B2y=27
2y=-x%2B27
y=-x%2F2%2B27%2F2

graph%28350%2C350%2C-2%2C30%2C-2%2C30%2C-x%2F2%2B27%2F2%29

Resolution on the graph is not very good, but x=1 seems like the best value.
y=27%2F2-1%2F2
highlight%28y=13%29