# Help

• Mar 5th 2006, 08:03 AM
batman123
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? :eek: • Mar 5th 2006, 09:17 AM earboth Quote: 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? :eek:

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:
$x \cdot 1.4+(560-x) \cdot 1.75=868$
$-0.35 \cdot x+980=868$
Solve this equation for x. You should get x=320. Shares of Q.Corp are then: 240.

Greetings

EB