SOLUTION: solve. 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

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Question 381309: solve.
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 stanbon(75887) About Me  (Show Source):
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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?
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Equations:
Cycle Quantity: b = 4t-1
Wheel Quantity: 2b + 3t = 174
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Substitute for "b" and solve for "t":
2(4t-1) + 3t = 174
8t-2 + 3t = 174
11t = 176
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t = 16 (# of tricycles)
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Since b = 4t-1, b = 4*16-1 = 63 (# of bicycles)
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Cheers,
Stan H.