Problema Solution

Shanika has invested in three different stocks. Stock A is currently worth

​$5.50

per share. Stock B is worth

​$5.00

per​ share, while stock C is worth

​$10.00

per share. Shanika purchased half as many shares of stock B as stock A and half as many shares of stock C as stock B. If her total investments are currently worth

​$420​,

how many shares of each stock does she​ own?

Answer provided by our tutors

Let

'x' represent the number of shares of stock A

x/2 is the number of shares of stock B

(1/2)(x/2) = x/4 is the number of shares of stock C

5.50x + 5*(x/2) + 10*(x/4) = 420

........

click here to see the equation solved for x

........

x = 40 shares of stock A

Shanika has 40 shares of stock A, 40/2 = 20 shares of stock B and 40/4 = 10 shares of stock C.