At Billy‘s preschool they have bicycles and tricycles with a total of 57 wheels. The number of bicycles is three less than three times the number of tricycles. How many of each are there?
1 answer:
Use b for bicycles b and t for tricycles. We know that each bicycle has 2 wheels, and each tricycle has 3 wheels, and if the entire number of wheels is 57, that means the equation would be: 2b + 3t = 57 We can "separate" b by calling it "25 - t" as an alternative, 2(25 - t) + 3t = 57, or 50 - 2t + 3t = 57, or 50 + t = 57, so t = 7 So there must be 18 bicycles and 7 tricycles. CHECKING:You can check this out by multiplying 7 tricycles x 3 wheels, which is 21, and 18 bicycles x 2 wheels, which is 36 36 + 21 = 57
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