SOLUTION: In a shop, there are 25 bicycles and tricycles. There are 63 wheels in all. Find the number of bicycles and tricycles in the shop.

Algebra ->  Finance -> SOLUTION: In a shop, there are 25 bicycles and tricycles. There are 63 wheels in all. Find the number of bicycles and tricycles in the shop.       Log On


   



Question 1002699: In a shop, there are 25 bicycles and tricycles. There are 63 wheels in all. Find the number of bicycles and tricycles in the shop.
Answer by fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
Call the number of bicycles and tricycles, x and y.
So that
x + y = 25
The number of wheels is
2x + 3y = 63
We can multiply the top equation by two and subtract from the second one...
2x + 3y = 63
-(2x + 2y = 50)
which gives
y = 13 trikes and
x = 12 bikes