SOLUTION: A wheel shop sells bicycles and go carts. The bike has only 1 seat and the go cart has only 1 seat. There are a total of 21 seats and 51 wheels in that room. How many bicycles and

Question 923404: A wheel shop sells bicycles and go carts. The bike has only 1 seat and the go cart has only 1 seat. There are a total of 21 seats and 51 wheels in that room. How many bicycles and go carts are in that room?
Answer by TimothyLamb(4379) (Show Source): You can put this solution on YOUR website!
b + c = 21
2b + 4c = 51
---
put the system of linear equations into standard form
---
b + c = 21
2b + 4c = 51
---
x + y = 21
2x + 4y = 51
---
copy and paste the above standard form linear equations in to this solver:
https://sooeet.com/math/system-of-linear-equations-solver.php
---
answer:
x = number of bikes = 16.5
y = number of carts = 4.5
NOTE: this is a trick question, it's impossible to have fractional bikes or carts
---
solve by substitution:
---
b + c = 21
2b + 4c = 51
---
c = 21 - b
2b + 4(21 - b) = 51
2b + 84 - 4b = 51
2b = 33
b = 16.5 bikes
c = 21 - 16.5 = 4.5 carts
---
---
Solve and graph linear equations:
https://sooeet.com/math/linear-equation-solver.php
---
Solve quadratic equations, quadratic formula:
https://sooeet.com/math/quadratic-formula-solver.php
---
Solve systems of linear equations up to 6-equations 6-variables:
https://sooeet.com/math/system-of-linear-equations-solver.php
RELATED QUESTIONS
The Wheel shop sells other kinds of vehicles. There are bicycles and go-carts in a... (answered by jojo14344)

Question: The Wheel shop sells other kinds of vehicles. There are bicycles and... (answered by gonzo)

This is my question written word for word: The wheel shop sells other kinds of... (answered by rothauserc)

Here is the question in its exact words, There are a different number of bicycles,... (answered by checkley71,scott8148)

Bicycle: 1 seat, 2 pedals, and 2 wheels Tricycle: 1 seat, 2 pedals, and 3 wheels Tandem (answered by richwmiller)

Sorry, but I have to repeat the other question I have put because I need the equation to... (answered by scott8148,KMST)

There are three types of bikes. A bicycle, tricycle, and tandem bikes. A bicycle as 2... (answered by stanbon,scott8148)

Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 5... (answered by gonzo)

Pops Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4... (answered by Alan3354)