Question

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?
a.
535 shares
b.
635 shares
c.
398 shares
d.
441 shares

Answer 1

Let D be Dowc shares and A be Agram shares. A = D + 86. Total dividend:
6.52D + 5.15A = 4585.15
Substitute A: 6.52D + 5.15(D + 86) = 4585.15
11.67D + 442.90 = 4585.15 => 11.67D = 4142.25 => D ≈ 355, so A = D + 86 ≈ 441.

Thus Agram shares = 441 (choice d).