SOLUTION: A broker sells a combined total of 40 shares of 2 different stocks. The first stock sold for $12.25 per share , and the second stock sold for $15.75 per share. If the total sale w

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A broker sells a combined total of 40 shares of 2 different stocks. The first stock sold for $12.25 per share , and the second stock sold for $15.75 per share. If the total sale w      Log On


   

Question 948834: A broker sells a combined total of 40 shares of 2 different stocks.
The first stock sold for $12.25 per share , and the second stock sold for $15.75 per share. If the total sale was $539 how many shares of each stock were sold?
Answer by macston(5194) About Me  (Show Source):
You can put this solution on YOUR website!
X=shares of $12.25 stock; Y=shares of $15.75 stock
X+Y=40 Solve for X
X=40-Y
$12.25(X)+$15.75(Y)=$539 Substitute for X
$12.25(40-Y)+$15.75(Y)=$539
$490-$12.25Y+$15.75Y=$539 Subtract $490 from each side.
$3.50Y=$49 Divide each side by $3.50
Y=14 ANSWER 1: 14 shares of the $15.75 stock were sold.
X=40-Y=40-14=26 ANSWER 2: 26 shares 0f $12.25 stock were sold.
CHECK
Total sale=$539
$12.25(X)+$15.75(Y)=$539
$12.25(26)+$15.75(14)=$539
$318.50+$220.50=$539
$539=$539