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nasty-shy [4]
2 years ago
7

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-r

ay 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:
d= _ t+ _
d= _ t+ _
Solve the system of equations using the substitution method. Complete the sentence to describe the solution.
There will be _ DVDs and Blu-Ray discs sold per month in _ months
Mathematics
1 answer:
sasho [114]2 years ago
3 0

Answer:

  • See below

Step-by-step explanation:

<u>DVDs</u>

  • d = 925 - 12t

<u>Blu-rays</u>

  • d = 507 + 26t

<u>Solve the system:</u>

  • 925 - 12t = 507 + 26t
  • 26t + 12t = 925 - 507
  • 38t = 418
  • t = 418/38
  • t = 11

<u>Number of disks sold in 11 months:</u>

  • 925 - 12*38 = 469

There will be 469 DVDs and Blu-Ray discs sold per month in 11 months

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