irv has a bike store. he has 32 bikes and also some tricycles, tandem bikes and unicycles. the unicycles and tandem bikes must be the same. there are 57 helmets and 115 wheels. name the bikes.

If there are v,w,x,y bike, trikes, tandems and unicycles, respectively, then we know

v = 32
x=y

Assuming all riders wear helmets,
v+w+2x+y = 57

2v+3w+2x+y = 115

32 bikes
13 trikes
4 tandems
4 unicycles