Matthew has two different stocks. One of the stocks is worth $\$ 7$ more per share than the other. He has 13 shares of the more valuable stock and 31 shares of the other stock. His total assets in stocks is $\$ 1235$. How much is the more expensive stock worth per share?
A) $\$ 33$ per share.
B) $\$19$ per share
C) $\$ 7$ per share
D) $\$ 35$ per share

Question

Quizplus · Accepted Answer

Let the price of the less expensive stock be $x$ dollars per share. Then, the price of the more expensive stock is $x + 7$ dollars per share. The total value of the stocks is given by $13(x + 7) + 31x = 1235$. Simplifying, we get $44x + 91 = 1235$, leading to $44x = 1144$, and $x = 26$. Therefore, the more expensive stock is worth $26 + 7 = \$33$ per share.

Matthew Has Two Different Stocks $7\$ 7$7 More Per Share Than the Other

Matthew Has Two Different Stocks $\$ 7$ More Per Share Than the Other