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.Com
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

RELATED QUESTIONS

Pops Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4... (answered by Alan3354)
Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4... (answered by mananth)
Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4... (answered by jojo14344)
solve. pop's cycle shop sells bicycles and tricycles. the number of bicycles is 1 less (answered by stanbon)
Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 5... (answered by gonzo)
In a shop, there are 25 bicycles and tricycles. There are 63 wheels in all. Find the... (answered by Michelleyay)
In a shop, there are 25 bicycles and tricycles. There are 63 wheels in all. Find the... (answered by fractalier)
Cycle center has bicycles and tricycles in the store room. There is at least two of each... (answered by ewatrrr,MathTherapy)
A bike shop sells bicycles and tricycles. There are 100 more bicycles in stock than there (answered by scott8148)