Question 869819: The owner of a bike shop sells tricycles (3 wheels) and bicycles (2 wheels), keeping inventory by counting seats and wheels. One day she counts 40 seats and 95 wheels. How many of each type of cycle are there? Please put this in equation form, that's why I'm having a hard time with it, I can't find the proper equation.
Answer by htmentor(1343)   (Show Source):
You can put this solution on YOUR website! Since she counts 40 seats, and each bicycle has one seat, 40 seats = 40 bikes
The total number of wheels is 95.
Let x = the number of bicycles (2 wheels); then 40-x = the number of tricycles (3 wheels)
We can write an equation for the number of wheels:
2x + 3(40-x) = 95
Solve for x:
2x + 120 - 3x = 95
x = 25
So there are 25 bicycles and 15 tricycles
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