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The number of wheels in a stand of cycle-rickshaws is given by the rule . What does the letter stand for in this rule?

Class 6AlgebraAlgebra
  • Athe number of wheels
  • Bthe number 3
  • Cthe fixed price of a rickshaw
  • Dthe number of rickshaws

Step-by-Step Solution

Each cycle-rickshaw has 3 wheels, so wheels = 3 × (number of rickshaws). The letter holds the number of rickshaws; is the wheel count that comes out of the rule, not itself.
Answer: D) the number of rickshaws

Key idea: Why letters?

Imagine you want to describe 'a number doubled, plus three'. Without algebra you would have to make a list: ; ; ; … forever. With a letter — say for 'the number' — the whole list becomes one short expression: ****. Pick any value of and you get the right answer. The letter is shorthand for 'whatever number we're talking about'.

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