SOLUTION: Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4 times the number of tricycles. All the bicycles ans tricycles together have a total of 174 wh

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4 times the number of tricycles. All the bicycles ans tricycles together have a total of 174 wh      Log On


   

Question 161568: Pop's Cycle Shop sells bicycles and tricycles. The number of bicycles is 1 less than 4 times the number of tricycles. All the bicycles ans tricycles together have a total of 174 wheels. How many bicycles are there?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!

Number of bicycles=b=4x-1, four times the no. of tricycles less 1
Number if tricycles=x
So, number of wheels
2%284x-1%29%2B3x=174wheels, EQN 1
8x-2%2B3x=174
11x=174%2B2=176
cross%2811%29x%2Fcross%2811%29=cross%28176%2916%2Fcross%2811%29
x=16, Number of tricycles
4%2A16-1=64-1=63 Number of bicycles
check, via EQN 1
2%2A63%2B3%2A16=174
126%2B48=174
174=174
Thank you,
Jojo