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 x be Rob’s Dowc shares, so he owns x + 86 Agram shares. His dividends satisfy 6.52x + 5.15(x + 86) = 4,585.15, which gives x ≈ 354.95 and therefore about 440.95 Agram shares. Since shares are counted in whole numbers, the intended answer is 441 shares of Agram Imports. (Using exactly 441 and 355 shares gives $4,585.75, so the stated dividend total appears to be off by $0.60.)

AI-written and checked against the verified answer.