The number of DVDs sold at a store in a month was 925 and the number of DVDs sold decreased by 12 per month. The number of Blu-ray discs sold in the same store in the same month was 507 and the number of Blu-ray discs sold increased by 26 per month. Let d represent the number of discs sold and t represent the time in months. Write a system of equations by filling in the blanks:

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Answer:

See below

Step-by-step explanation:

DVD's sold:

  • d = 925 - 12t

Blu-rays sold:

  • d = 507 + 26t

Solving the system we get the number of month t when the disks sold are equal:

  • 925 - 12t = 507 + 26t
  • 26t + 12t = 925 - 507
  • 36t = 418
  • t = 418/36
  • t = 11.6 months