A shop sells bicycles and tricycles. In total there are 10 cycles (cycles include both bicycles and tricycles) and 23 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.
Select the correct option:
A) b=7,t=3
B) b=5,t=3
C) b=8,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=23............(2)   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+30-3b=23   -b=-7   b=7   Calculate the number of tricycles t   t=10−b   =10−7   =3   There are 3 tricycles and 7 bicycles.   b=7,t=3nswer is b=7,t=3.
<result>A</result>
A shop sells bicycles and tricycles. In total there are 10 cycles (cycles include both bicycles and tricycles) and 23 wheels. Determine how many of each there are, if a bicycle has two wheels and a tricycle has three wheels.