Wheeler's Toy Store has a number of bicycles, tricycles, and wagons in stock.   If there are an equal number of tricycles and wagons, and a total number of 60 pedals and 180 wheels, how many wagons, tricycles, amd bikes are there in in the store?

Solution to the Problem:

There are 24 wagons, 24 tricycles, and 6 bikes.

Let t = # of tricycles
Let b = # of bikes
Let w = # of wagons

Then we can write the following three equations:
t = w
2(b + t) = 60
4w + 2b + 3t = 180

Solving, we get:
b + t = 30
2b + 7t = 180 (substituting w = t in the third equation above)
So, 5t = 120 and t = 24
Then it follows that w = 24 and b = 6.

Correctly solved by:

1. James Alarie Flint, Michigan
2. Brooks Garris Lake View High School,
Lake View, South Carolina
3. Braydon Saxton Mountain View High School,
Mountain View, Wyoming
4. Chad Fore Gate City, Virginia
5. Chana B. New York
6. Keith Mealy Cincinnati, Ohio
7. Michael Reilly Silver Spring, Maryland