The cycle department of a toy store sells bicycles and tricycles
MATHEMATICS · Multi-part · CBSE · Mathematics · Pair of Linear Equations in Two Variables · Pair of Linear Equations in Two Variables
Problem
The cycle department of a toy store sells bicycles and tricycles.
George observes that there are 13 cycles in total. His brother James counts 31 wheels in total.
(1) Is it possible to determine the numbers of bicycles and tricycles using only:
- George's observation
- James' observation?
(2) What combination(s) of bicycles and tricycles satisfy:
- George's observation
- James' observation
- both boys' observations?
(3) How can we solve problems like this without listing all of the possible combinations?