Rob owns stock in Dowc Beverage Co. and Agram Imports. He owns 86 more shares of Agram Imports, which pays a dividend of $5.15 per share, than he does of Dowc Beverage Co., which pays $6.52 per share. If Rob receives $4,585.15 in dividends annually, how many shares of Agram Imports does he own?

Let us assume the number of

shares that Rob has of Dowc Beverages Co. = x

Then

Number of shares of Agram imports held by Rob = x + 86

So

The equation can be written as

6.52x + 5.15 (x + 86) = 4585.15

6.52x + 5.15x + 442.90 = 4585.15

11.67x = 4585.15 - 442.90

11.67x = 4142.25

x = 4142.25/11.67

= 354.95

= 355

Then

Number of Agram imports shares that Rob owns = x + 86

= 355 + 86

= 441