There are 8 bicycles in the store.
Explanation
Suppose, the number of bicycles is [tex]x[/tex]
As there is a total of 14 bicycles and tricycles, so the number of tricycles will be: [tex](14-x)[/tex]
Each bicycle has 2 wheels and each tricycle has 3 wheels. The total number of wheels in the store is given as 34. So the equation will be....
[tex]2x+3(14-x)=34\\ \\ 2x+42-3x=34\\ \\ -x+42=34\\ \\ -x=34-42\\ \\ -x=-8\\ \\ x=8[/tex]
So, the number of bicycles is 8.
