Billy-Sean O'Hagan is the treasurer at his college fraternity, which recently earned $15,350 in its annual carwash fundraiser. Billy-Sean decided to invest all the proceeds in the purchase of three computer stocks: HAL, POM, and WELL.   Price per Share ($) Dividend Yield (%) HAL 100 0.5 POM 20 1.50 WELL 25 0 If the investment was expected to earn $74 in annual dividends and he purchased a total of 230 shares, how many shares of each stock did he purchase?

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter2: Exponential, Logarithmic, And Trigonometric Functions
Section2.1: Exponential Functions
Problem 53E: Interest Ron Hampton needs to choose between two investments: One pays 6% compounded annually, and...
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Billy-Sean O'Hagan is the treasurer at his college fraternity, which recently earned $15,350 in its annual carwash fundraiser. Billy-Sean decided to invest all the proceeds in the purchase of three computer stocks: HAL, POM, and WELL.
  Price per Share ($) Dividend Yield (%)
HAL 100 0.5
POM 20 1.50
WELL 25 0
If the investment was expected to earn $74 in annual dividends and he purchased a total of 230 shares, how many shares of each stock did he purchase?
 
 
i have 
x+y+z=230
100x+20y+25z=15,350
5x+30y=74
 
i get y=31 but its incorrect, help please 
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