SOLUTION: a toy museum has a collection of bicycles and tricycles. together they have 36 pedals and 43 wheels. how many tricycles does the museum have

Question 938086: a toy museum has a collection of bicycles and tricycles. together they have 36 pedals and 43 wheels. how many tricycles does the museum have
Found 2 solutions by Stitch, ewatrrr:
Answer by Stitch(470) (Show Source): You can put this solution on YOUR website!
Let B = number of bicycles
Let T = number of tricycles
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Both types only have two pedals each.
So 36 total pedals divide by 2 mean there are only 18 devices in the museum.
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Lets write a couple equations.
Equation 1:
Equation 2:
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Solve equation 1 for one of the variables.

Plug (18-T) into equation 2 for B
Equation 2:

Simplify

Combine like terms.

Subtract 36 from both sides.

There are 7 tricycles in the museum.
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You can now solve for B as well by plugging 7 in for T

Answer by ewatrrr(24785) (Show Source): You can put this solution on YOUR website!
2b + 3t = 43
-1(2b + 2t = 36)
t = 7, number of tricycles. And, bicycles = 11
...
and...checking
2�11 + 3�7 = 22 + 21 = 43 wheels
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