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aniked [119]
3 years ago
13

Angie an Kenny play online video games. Angie buys 1 software package and 3 months of game play. Kenny buys 1 software package a

nd 2 months of game play. each software package cost $20. If their total cost is $115, what is the cost of one month of game play
Mathematics
1 answer:
Sati [7]3 years ago
4 0

Answer:

One month of gameplay costs $15

Step-by-step explanation:

Angie: 20 + 3x

Kenny: 20 + 2x

(20 + 3x) + (20 + 2x) = 115 --- add their costs together

(20 + 20) + (3x + 2x) = 115 --- collect like terms

40 + 5x = 115 --- simplify

5x = 75 --- subtract 40 from both sides

x = 15 --- divide both sides by 5

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Answer:

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General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

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<u>Algebra I</u>

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Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

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<u>Step 2: Solve for </u><em><u>x</u></em>

  1. [Addition Property of Equality] Add 5 on both sides:                                    4x² = 80
  2. [Division Property of Equality] Divide 4 on both sides:                                  x² = 20
  3. [Equality Property] Square root both sides:                                                    x = ±2√5
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