Answer to January 14, 2002 Problem

The Toys R Us Problem

The Winchester Toys R Us has a number of bikes, tricycles, and wagons left over after Christmas.
There is an equal number of trikes and wagons left. If there is a total of 60 pedals and 180 wheels, how many wagons, trikes, and bikes are in the store?


Solution:

The answer is 24 wagons, 24 trikes, and 6 bikes.
Let x = the number of trikes left over.
The x = the number of wagons.
Let y = the number of bikes.

Set up two equations with 2 variables:
The number of wheels is: 2y + 3x + 4x = 180
The number of pedals is: 2y + 2x = 60
Therefore, (60 - 2x) + 7x = 180
So, 5x = 120
x = 24 and y = 6.



Correctly solved by:

1. Richard K. Johnson La Jolla, California
2. Rich Murray Ridgetown, Ontario
3. Rick Jones Kennett Square, Pennsylvania
4. Renata Sommerville Austin, Texas
5. Carter Staples Columbus, Georgia
6. Tori Eads Winchester, Virginia
7. Harrison Wallace Columbus Georgia
8. Rawson Hart Columbus, Georgia
9. Walt Arrison Philadelphia, Pennsylvania
10. Matt McMurtry Arlington, Virginia
11. Wilds Ogie Columbus, Georgia
12. Anne Beavers Arlington, Virginia
13. Jaime Garcia Winchester, Virginia
14. Laurence O'Neill Winchester, Virginia
15. Jessica Wolff Columbus, Georgia
16. Nate Troup Arlington, Virginia
17. ---------- United Kingdom
18. Steve Muller Clearbrook, Virginia
19. Matt Crandell Winchester, Virginia
20. Nick von Keller Winchester, Virginia
21. George Gaither Winchester, Virginia
22. David and Judy Dixon Bennettsville, South Carolina
23. Bob Hearn Winchester, Virginia
24. Daniel Griffith Columbus, Georgia
25. Jacob Baker Winchester, Virginia
26. Keith Mealy Cincinnati, Ohio
27. James Alarie University of Michigan -- Flint
28. John Beasley Winchester, Virginia
29. Janine Oliver Winchester, Virginia
30. Justin Collins Winchester, Virginia
31. Jaime Lockhart Winchester, Virginia
32. Bahareh Joukar Winchester, Virginia
33. David Powell Winchester, Virginia