# SOLUTION: A cycle shop sells bicycles and tricycles. The number of bicycles is 1 less than 4 times the numberm of tricycles. All the bicycles and tricycles together have 174 wheels. How many

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: A cycle shop sells bicycles and tricycles. The number of bicycles is 1 less than 4 times the numberm of tricycles. All the bicycles and tricycles together have 174 wheels. How many      Log On

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 Question 451781: A cycle shop sells bicycles and tricycles. The number of bicycles is 1 less than 4 times the numberm of tricycles. All the bicycles and tricycles together have 174 wheels. How many bicycles are there? Answer by pedjajov(51)   (Show Source): You can put this solution on YOUR website!If we mark number of bicycles as b and number of tricycles as t then we have the following: b is by 1 less than 4 times t -> Knowing that bicycle has 2 wheels and tricycle has 3 we have: total number of wheels is 174 -> Substitute b in the second equation with the first: , multiply , combine , add 2 to the both sides of equation , divide both sides by 11 , this is the number of tricycles , substitute t with 16 , this is the number of bicycles check: 2b+3t=2*63+3*16=126+48=174, OK