A shop sells bicycles and tricycles. In total there are 10 cycles (cycles include both bicycles and tricycles) and 21 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.	Choose the correct choice from the following answers
A) b=9,t=1  B) b=7,t=3  C) b=6,t=2  D) b=2,t=5  E) b=6,t=4
Let b be the number of bicycles and let t be the number of tricycles.   Set up the equations   b+t=10............(1)   2b+3t=21............(2)   Rearrange equation (1) and substitute into equation (2)   2b+30-3b=21   -b=-9   b=9   Calculate the number of tricycles t   t=10−b   =10−9   =1   There are 1 tricycles and 9 bicycles.   b=9,t=1nswer is b=9,t=1.
<result>A</result>
A shop sells bicycles and tricycles. In total there are 10 cycles (cycles include both bicycles and tricycles) and 21 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.