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theleangreenbean

Translating Sentences into Equations

A key part of this is recognizing certain words to change into operations or numbers:

  • quotient = divide
  • three more = add 3
  • 'a/the number' = use a variable (in this case, it's w)

Solving the Question

We're given:

  • Three more than the quotient of a number and 7 equals 6
    ⇒ 'the quotient of a number and 7' tells us we divide w by 7:
  • Three more than [tex]\dfrac{w}{7}[/tex] equals 6
    ⇒ 'three more than' means we add 3 to the fraction:
  • [tex]\dfrac{w}{7}+3[/tex] equals 6
  • [tex]\dfrac{w}{7}+3=6[/tex]

Answer

[tex]\dfrac{w}{7}+3=6[/tex]

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