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Year 9 maths · J.10 · Systems of equations

Systems word problems: wheels on bicycles and tricycles

Write two equations for the two unknown numbers, then solve the system.

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  1. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 33 vehicles with 80 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).

    Answer: (19, 14)

  2. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 29 vehicles with 69 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).

    Answer: (18, 11)

  3. A shop has bicycles (2 wheels) and tricycles (3 wheels). There are 20 vehicles with 42 wheels in all. How many bicycles and how many tricycles? Write (bicycles, tricycles).

    Answer: (18, 2)

Tip: Write two equations for the two unknown numbers, then solve the system.

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