Question

The fun city bicycle store sells bicycles and tricycles. In the showroom there are 7 times as many bicycles as there are tricycles. Loreen counted a total of 85 wheels in the showroom. How many bicycles are there in the show room of Fun City Bicycle?

Answer 1

There are 5 tricycles and 35 bicycles in the showroom of Fun City Bicycle.

Step-by-step explanation:

Let's assume the number of tricycles in the showroom is T. According to the information given, there are 7 times as many bicycles as tricycles, so the number of bicycles can be represented as 7T.

A bicycle has 2 wheels and a tricycle has 3 wheels. So the total number of wheels in the showroom can be calculated by multiplying the number of bicycles by 2 and the number of tricycles by 3, and equating it to 85.

2 · (7T) + 3 · T = 85

Simplifying the equation, we get 14T + 3T = 85, which further simplifies to 17T = 85.

Dividing both sides of the equation by 17, we find that T = 5.

Therefore, there are 5 tricycles and 35 bicycles in the showroom of Fun City Bicycle.