Brain Teasers
Tricycles
There are a total of 14 bicycles and tricycles. If the total number of wheels is 34, how many tricycles are there?
Answer
2(b) + 3(t) = 34[2 * bicycles + 3 * tricycles = amount of wheels]
b + t = 14
[bicycles + tricycles = 14]
Manipulate the second equation to exclude a variable:
b + t - t = 14 - t
b = 14 - t
Then combine the two statements to keep true and solve:
2(14 - t) + 3(t) = 34
28 - 2t + 3t = 34
t = 6
If b = 14 - t
b = 14 - 8
b = 8
Therefore there are 6 tricycles and 8 bicycles.
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