A bicycle and tricycle is shipped in its own box. Oddly, the manufacturer shipped all the wheels in a separate box. If there are 16 boxes of bicycles/tricycles total, and 45 wheels total, how many tricycles were ordered?
1 Answer
Feb 21, 2016
Bicycles = 3
Tricycles = 13
Explanation:
May the number of bicycles = "b" and tricycles = "t".
If there are 16 boxes, it means that the total number of bicycles and tricycles is equal to 16, or:
For each bicycle there are 2 wheels and for each tricycle there are 3 wheels. Therefore
We have now a system with two equations:
Solving the system:
Substituting "b" in the second equation: