SOLUTION: There are 21 wheels at the bike shop. The wheels will be used to build tricycles and bicycles. There will be half as many tricycles as bicycles. How much of each type of bike will

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: There are 21 wheels at the bike shop. The wheels will be used to build tricycles and bicycles. There will be half as many tricycles as bicycles. How much of each type of bike will       Log On


   

Question 836973: There are 21 wheels at the bike shop. The wheels will be used to build tricycles and bicycles. There will be half as many tricycles as bicycles. How much of each type of bike will be built?
Answer by dfrazzetto(283) About Me  (Show Source):
You can put this solution on YOUR website!

Set:
# of Bicycles = B
# of wheels needed per bike = 2B

# of Tricycles = T
# of wheels needed per trike = 3T
T = 1/2B
B = 2T
2B + 3T = 21 total wheels
Plugging in B = 2T:
2(2T) + 3T = 21
4T + 3T = 21
7T = 21
T = 3
B = 6
6 Bicycles and 3 Tricycles
CHECK:
6(2 wheels per bike) + 3(3 wheels per trike) = 12 + 9 = 21 Wheels total