Brain Teaser Question?

Lucas

At Irv rents all king of cycles: unicycles tandem bikes regular bikes and evan tricycles for little kids.He parks all cycles in front of the shop with a helmet for each rider strapped to each cycle. This morning Irv counted 57 helmets and 115 wheels parked in front of the store He knows that he has 32 regular bikes. He knows that there are equal amount of unicycles and tandem bikes. How many unicycles, tandem bikes and tricycles does Irv have?

Answer
A regular bike has two wheels and one helmet. Take out those 32 and you're left with 25 helmets and 51 wheels, so:
U + 2D + T = 25
U + 2D + 3T = 51 (Using D for tandem and T for trike)
Since D = U,
3D + T = 25
3D + 3T = 51. Subtracting #1 from #2,
2T = 26
T = 13. 3D + 13 = 25, 3D = 12, D=4.
13 tricycles, 4 tandems, and 4 unicycles.

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