SOLUTION: This is my question written word for word: The wheel shop sells other kinds of vehicles.There are bicycles and go-carts in a different room of the shop.Each bicycle has only one s

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Question 741025: This is my question written word for word:
The wheel shop sells other kinds of vehicles.There are bicycles and go-carts in a different room of the shop.Each bicycle has only one seat and two wheels and each go-cart has only one seat and only four wheels. There are a total of 21 seats and 54 wheels in that room.
How many are bicycles and how many are go-carts
Explain how you figured it out.
Answer by rothauserc(4718) About Me  (Show Source):
You can put this solution on YOUR website!
We are given:
The wheel shop sells other kinds of vehicles.There are bicycles and go-carts in a different room of the shop.Each bicycle has only one seat and two wheels and each go-cart has only one seat and only four wheels. There are a total of 21 seats and 54 wheels in that room.
let x = number of bicycles, y = number of go-carts, then we have the following two equations:
x+y=21
2x+4y=54
solve second equation for x and we get
x=27-2y
substitute for x in equation 1 and we get
27-2y+y=21
-y=-6 and y=6 and x=15
so there are 15 bicycles and 6 go-carts