### 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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