Answer:
a) 11 months
b) 788 discs
Step-by-step explanation:
Let us represent number of months = x
For DVD's
The number of DVD's sold at Fry's Electronics in a month was 920 and the number of DVD's sold decreased by 12 per month.
Hence:
920 - 12x
For Blu ray
The number of Blu-ray discs sold at Fry's Electronics in the same month was 502 and the number of Blu-ray discs sold increased by 26 per month.
502 + 26x
Write a system of equations to model th situation.
a).If this trend continues, in how many months will the number of DVD's sold each month equal the number of Blu-ray discs sold each month?
To solve this:
DVD's = Blu-ray
920 - 12x = 502 + 26x
Collect like terms
920 - 502 = 26x + 12x
418 = 38x
x = 418/38
x = 11 months
b) How many each disc is sold in that month?
For DVD's
920 - 12x
x = 11
Hence:
920 - 12 × 11
= 920 - 132
= 788 discs
For Blu ray
= 502 + 26x
x = 11
Hence:
= 502 + 26x
= 502 + 26 × 11
= 788 discs
Therefore, 788 discs were sold in each month
