Question

Holly’s bike shop sells bicycles and tricycles. Holly wants to know how many bicycles she has in her shop. She asks an employee to count for her. The employee counts them and says, there is a total of 14 bicycles and tricycles in the store. The total number of wheels in the store is 34. How many bicycles are in the store?

Answer 1

8

Explanation:

Ap3x

Answer 2

There are 8 bicycles in the store.

Explanation

Suppose, the number of bicycles is
`x`

As there is a total of 14 bicycles and tricycles, so the number of tricycles will be:
`(14-x)`

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....

`2x+3(14-x)=34\\ \\ 2x+42-3x=34\\ \\ -x+42=34\\ \\ -x=34-42\\ \\ -x=-8\\ \\ x=8`

So, the number of bicycles is 8.