SOLUTION: A bicycle shop sells both bicycles(2 wheels) and tricycles(3 wheels). Recently the owner counted 153 wheels and 136 pedals. How many bicycles and tricycles did she have?

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Question 251664: A bicycle shop sells both bicycles(2 wheels) and tricycles(3 wheels). Recently the
owner counted 153 wheels and 136 pedals. How many bicycles and tricycles did
she have?

Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let B = the number of bicycles and T = the number of tricycles.
Each bike and each trike has 2 pedals and there is a total of 136 pedals, so...
2B%2B2T+=+136 Divide both sides by 2.
B%2BT+=+68 Rewrite this as: B+=+68-T
There are 153 wheels and each bike has 2 wheels (2B) and each trike has 3 wheels (3T), so...
2B%2B3T+=+153 Substitute B+=+68-T and solve for T.
2%2868-T%29%2B3T+=+153 Simplify.
136-2T%2B3T+=+153
136%2BT+=+153 Subtract 136 from both sides.
highlight%28T+=+17%29 This is the number of tricycles.
B+=+68-T Substitute T+=+17
B+=+68-17
highlight%28B+=+51%29 This is the number of bicycles.