In a shop, there are 25 bicycles and tricycles. there are 63 wheels in all.find the numbers of bicycles and tricycles in the shop.

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13-11-2017
Mathematics

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In a shop, there are 25 bicycles and tricycles. there are 63 wheels in all.find the numbers of bicycles and tricycles in the shop.

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randgh randgh · Answer 1 · 2017-11-13T12:08:18+01:00

randgh randgh

13-11-2017

let x be number of bicycles
and y the number of tricycles
So

x + y = 25 equation 1

The number of wheels is
2x + 3y = 63 equation 2

We can multiply the equation 1 by two and subtract from the second one...
2x + 3y = 63
-(2x + 2y = 50)
then

y = 13 trikes and
x = 12 bikes

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