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. 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. Write a system of equations to model th situation. 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? How many each disc is sold in that month?

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

c. 4 1/4 pounds

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.