The number of DVDs sold at a store in a month was 920 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 502 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. The system of equations ⎧⎨ ⎩d = 920 - 12td = 502 + 26t can be used to represent this situation. If this trend continues, in how many months will the number of DVDs sold equal the number of Blu-ray discs sold? How many of each is sold in that month?
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Answer:
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
Step-by-step explanation:
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