Michael purchased a certain number of share of one stock for a total of $308. The second stock was selling for $3 less per share . Michael could have bought 6 more shares of the second stock for the same amount of money. How many shares of the first stock did Michael purchase? How much did each share cost?

Answer 1

s shares at price p gives

sp = 308
(s+6)(p-3) = 308

sp+6p-3s-18 = 308
308+6p-3s = 18
2p-s = 6
2p - 308/p = 6
2p^2 - 6p - 308 = 0
p^2 - 3p - 154 = 0
(p-14)(p+11)
p = 14
s = 77