SOLUTION: 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 each go-cart has only one seat.

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Question 160981: 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 each go-cart has only one seat. There are a total of 21 seats and 54 wheels in that room. Bicyle has 2 wheels and go-carts have 4 wheels. How many bicycles and how many are go-carts?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

BC%2BGC=21 -----------------> EQN 1
We get BC=21-GC ----------> EQN 2
Also,
2BC%2B4GC=54 ---------------> EQN 3: 2 wheels for BC, & 4 wheels for GC = 54 wheels
Subst. EQN 2 in EQN 3:
2%2821-GC%29%2B4GC=54
42-2GC%2B4GC=54
2GC=54-42=12
cross%282%29GC%2Fcross%282%29=cross%2812%296%2Fcross%282%29
highlight%28GC=6%29, Number of Go Carts
Go back EQN 2:
BC=21-6
highlight%28BC=15%29, Number of Bicycles
Check via EQN 3:
2%2A15%2B4%2A6=54
30%2B24=54
54=54
Thank you,
Jojo