Matthew has two different stocks. One of the stocks is worth twice as much per share as the other. He has 13 shares of the more valuable stock and 45 shares of the other stock. His total assets in stocks is $\$ 2272$. How much is the less expensive stock worth per share?
A) $\$ 32$ per share
B) \$37 per share
C) $\$ 30$ per share
D) $\$ 60$ per share

Question

Quizplus · Accepted Answer

Let the price of the less expensive stock be $ x $. Then the price of the more expensive stock is $ 2x $. The total value of the stocks is $ 13(2x) + 45(x) = 2272 $. Solving $ 26x + 45x = 2272 $ gives $ 71x = 2272 $, so $ x = 32 $.

Matthew Has Two Different Stocks $2272\$ 2272$2272 How Much Is the Less Expensive Stock Worth Per

Matthew Has Two Different Stocks $\$ 2272$ How Much Is the Less Expensive Stock Worth Per