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Caroline was thinking of a number. Caroline adds 7 to it, then doubles it and gets an answer of 82.8. What was the original number?

Respuesta :

Space

Answer:

n = 34.4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Step-by-step explanation:

Step 1: Set Up

Let's let our number be set by variable n.

We add 7 to it: n + 7

We then double that entire expression: 2(n + 7)

That expression is equal to 82.8: 2(n + 7) = 82.8

Step 2: Solve for n

  1. [Division Property of Equality] Divide 2 on both sides:                               n + 7 = 41.4
  2. [Subtraction Property of Equality] Subtract 7 on both sides:                      n = 34.4

∴ Caroline's original number is 34.4.

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