Question
In a shop, There are 25 bicycles and tricycles. There are 63 wheels in all. Find the number of bicycles in the shop.
Answers
b + t = 25
2 b + 3 t = 63
3 b + 3 t = 75
2 b + 3 t = 63
---------------subtract
1 b + 0 = 12
b = 12
2 b + 3 t = 63
3 b + 3 t = 75
2 b + 3 t = 63
---------------subtract
1 b + 0 = 12
b = 12
Let bicycles = x, and tricycles = y
The algebraic equation using the number of wheels and the number of tricycles and bicycles is:
x + y = 25
2x + 3y = 63
I can multiply the top equation by two and subtract from the second one:
2x + 3y = 63
-(2x + 2y = 50)
which gives
y = 13 tricycles
Finally, I substitute y into the equation and I get x = 12 bikes
There are 12 bicycles and 13 tricycles in the shop.
The algebraic equation using the number of wheels and the number of tricycles and bicycles is:
x + y = 25
2x + 3y = 63
I can multiply the top equation by two and subtract from the second one:
2x + 3y = 63
-(2x + 2y = 50)
which gives
y = 13 tricycles
Finally, I substitute y into the equation and I get x = 12 bikes
There are 12 bicycles and 13 tricycles in the shop.
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