1. ## Help

John bought shares of stock in two compaines: S. Inc. and Q. Corp. He purchase a total of 560 shares of stock. S. Inc. pays a dividend of $1.40 per share and Q. Corp. pays a dividend of$1.75 per share. Both dividends are paid annually. After one year John received dividend checks totaling $868. Hoe many shares of each stock doe he owe? 2. Originally Posted by batman123 John bought shares of stock in two compaines: S. Inc. and Q. Corp. He purchase a total of 560 shares of stock. S. Inc. pays a dividend of$1.40 per share and Q. Corp. pays a dividend of $1.75 per share. Both dividends are paid annually. After one year John received dividend checks totaling$868. Hoe many shares of each stock doe he owe?
Hello,

let the number of shares of s.Inc. be x, then the amount of shares of Q.Corp. is (560-x). Multiply the number of shares with the dividend per share and you'll get the total annual income:
$\displaystyle x \cdot 1.4+(560-x) \cdot 1.75=868$
$\displaystyle -0.35 \cdot x+980=868$
Solve this equation for x. You should get x=320. Shares of Q.Corp are then: 240.

Greetings

EB