SOLUTION: The owner of a bicycle shop took inventory of his bicycles and tricycles. He counted 153 wheels and 136 pedals. How many bicycles and tricycles did he have?

Question 257899: The owner of a bicycle shop took inventory of his bicycles and tricycles. He counted 153 wheels and 136 pedals. How many bicycles and tricycles did he have?
Found 2 solutions by checkley77, richwmiller:
Answer by checkley77(12844) (Show Source): You can put this solution on YOUR website!
136/2=68 UNITS ARE IN THE SHOP
LET X=THE NUMBER OF BICYCLES.
LET Y=THE NUMBER OF TRICYCLES.
X+Y=68 MULTIPLY BY -2 & ADD
2X+3Y=153 NUMBER OF WHEELS.
-2X-2Y=-136
-----------------
Y=17 NUMBER OF TRICYCLES.
68-17=51 NUMBER OF BICYCLES.
PROOF:
2*51+3*17=153
102+51=153
153=153

Answer by richwmiller(17219) (Show Source): You can put this solution on YOUR website!
136/2= 68 pedal vehicles
153-136=number of wheels -minus number of pedals = 17 tricycles
68-17=51 bicycles
check
2b+3t=w
2*51+3*17=153
102+51=153
ok
check
68*2=136
ok

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