In a bike shop they sell bicycles & tricycles. I counted 80 wheels & 34 seats. How many bicycles & t

In a bike shop they sell bicycles & tricycles. I counted 80 wheels & 34 seats. How many bicycles & tricycles were in the bike shop?

Let b be the number or bicycles and t be the number of tricycles. Since each bicycle has 2 wheels and 1 seat and each tricycle has 3 wheels and 1 seat, we have the following equations:

1. 2b + 3t = 80
2. b + t = 34

We can solve this set of simultaneous equations 3 ways:

• Substitution Method
• Elimination Method
• Cramers Rule

No matter which method we choose, we get the same answer:

• b = 22
• t = 12