nancy spends 1/3 of her monthly salary on her rent, 0.1 on her car payment, 1/12 on food, and 20% on other bills. She has $680 left for other expenses. What is her monthly salary?

Respuesta :

Answer:

  • $2400

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Let the total amount of salary be x.

According to the given information we can set up an equation:

  • (1/3)x + 0.1x + (1/12)x + 0.2x + 680 = x
  • (4/12)x + (1/12)x + 0.3x + 680 = x
  • x - (5/12)x - 0.3x = 680
  • 0.7x - (5/12)x = 680
  • (7/10)x - (5/12)x = 680
  • (42/60)x - (25/60)x = 680
  • (17/60)x = 680
  • x = 680*60/17
  • x = 2400

Nancy's monthly salary is $2400.