Resolved Question
Show me another »The owner of a bicycle shop reported his inventory of bicycles and tricycles in an unusual way. He said he co?
The owner of a bicycle shop reported his inventory of bicycles and tricycles in an unusual way. He said he counted 126 wheels and 108 pedals. How many bikes and trikes does he have?
Best Answer - Chosen by Voters
If we use b as the number of bikes and t and the number by trikes then using his count we can create the system of equations
2b + 3t = 126 <-- each bike has 2 wheels, and each trike 3
2b + 2t = 108 <-- both have 2 pedals each.
Solve that system and you'll get the number of bikes and trikes, the elimination method works fantastically here.
2b + 3t = 126 <-- each bike has 2 wheels, and each trike 3
2b + 2t = 108 <-- both have 2 pedals each.
Solve that system and you'll get the number of bikes and trikes, the elimination method works fantastically here.
100% 1 Vote
- Action Bar:
- 0 stars - mark this as Interesting!
- Comment (0)
- Save
There are currently no comments for this question.
* You must be logged into Answers to add comments. Sign in or Register.
Other Answers (3)
- Let b = number of bicycles and t = number of tricycles.
2b + 3t = 126
2b + 2t = 108
solve the system of equations:
2b = 126 - 3t
2b = 108 - 2t
126 - 3t = 108 - 2t
18 = t
2b + 2(18) = 108
2b = 108 - 36 = 72
b = 360% 0 Votes - Each bike and trike has 2 pedals.
Let b = no of bikes
and t = no of trikes
2b + 2t = 108
A bike has two wheels and a trike has 3.
2b + 3t = 126
Subtracting, t = 18
2b + 2(18) = 108
2b + 36 = 108
2b = 72
b = 36
There are 36 bikes and 18 trikes.0% 0 Votes - Let 2 be the # of wheels on each bike and 108 be the # of pairs of pedals on the back shelf of the store.
So, 63 bikes and 108 pairs of pedals in the back.0% 0 Votes
Open Questions in Mathematics
Answers International
- Argentina
- Australia
- Brazil
- Canada
- China
- France
- Germany
- Hong Kong
- India
- Indonesia
- Italy
- Japan
- Malaysia
- Mexico
- New Zealand
- Philippines
- Quebec
- Singapore
- South Korea
- Spain
- Taiwan
- Thailand
- United Kingdom
- United States
- Vietnam
- en Español
Yahoo! does not evaluate or guarantee the accuracy of any Yahoo! Answers content. Click here for the Full Disclaimer.
Help us improve Yahoo! Answers. Send Feedback
Copyright © 2010 Yahoo! Inc. All Rights Reserved.