SOLUTION: Cycle Center has bicycles and tricycles in the store room. There are at least two of each and there are more bicycles than tricycles. There are 23 wheels altogether =. How many b

Question 916140: Cycle Center has bicycles and tricycles in the store room. There are at least two of each and there are more bicycles than tricycles. There are 23 wheels altogether =. How many bicycles and tricycles are in the storeroom?
(23-9)x=x/2=7 bicycles
(23-14)x=x/3=3 tricycles
Answer by josgarithmetic(39630) (Show Source): You can put this solution on YOUR website!
x, how many bicycles
y, how many tricycles
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x>=2 and y>=2 and x>y
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2x+3y=23 accounting for how many wheels

This has the impression of a linear programming problem, but I do not see an "objective function". You are looking for whole number values for x and y, regardless. The quantity of cycles is not too large. Try testing for x=6 and x=7, and see if you find y less than x. Very crude, but you know not too many trials would be needed.

Also, try making a graph mostly using
and .
Note, this graph will use the EQUALITY y=x instead of the inequality to allow for easier reading the graph:

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