A shop sells bicycles and tricycles. In total there are 8 cycles (cycles include both bicycles and tricycles) and 19 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.	Choose one:
A) b=2,t=3  B) b=5,t=3  C) b=6,t=2  D) b=2,t=5  E) b=3,t=4
Let b be the number of bicycles and let t be the number of tricycles.   Set up the equations   b+t=8............(1)   2b+3t=19............(2)   Rearrange equation (1) and substitute into equation (2)   2b+24-3b=19   -b=-5   b=5   Calculate the number of tricycles t   t=8−b   =8−5   =3   There are 3 tricycles and 5 bicycles.   Answer is b=5,t=3.
<result>B</result>
A shop sells bicycles and tricycles. In total there are 8 cycles (cycles include both bicycles and tricycles) and 19 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.