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Fifteen is three times the difference between three times a number, n, and four.


Translate into equation and solve.

Sagot :

Theleangreenbeanidn

Translating Words into Equations

We can translate word equations into number equations by recognizing key words as operations:

  • Three times = multiply by 3
  • Difference = subtract
  • Is = equals

Solving the Question

We're given:

  • Fifteen is three times the difference between three times a number, n, and four.

Divide the sentence into parts:

  • [Fifteen] [is] [three times the difference between three times a number, n, and four]

Translate into numbers and operations:

  • 15 = [three times the difference between three times a number, n, and four]
  • 15 = 3 × [difference between three times a number, n, and four]
  • 15 = 3 × (3n - 4)

Isolate n:

15 = 3 × (3n - 4)

15 = 9n - 12

27 = 9n

n = 3

Answer

15 = 3 × (3n - 4)

n = 3

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