Aperson has 14000 invested in stock a and stock b. a currently sells for $40 a share and stock b sells for 60 a share. if stock b doubles in value and stock a goes up 50%, his stock will be worth 24,000. how many shares of each stock does he own?

He own 200 shares of stock A and 100 shares of stock B.

Step-by-step explanation:

Let x be the number of shares of stock A and y be the number of shares of stock B.

Current value of a share of stock A = $40

Current value of a share of stock B = $60

A person has 14000 invested in stock A and stock B.

Divide both sides by 20.

           .... (1)

Stock B doubles in value and stock A goes up 50%, his stock will be worth 24,000.

New value of a share of stock A = $40 + (50% of 40)= $40 + $20 = $60

New value of a share of stock B = $60 × 2 = $120

Divide both sides by 60.

           .... (2)

Solve equation (1) and (2) by elimination method.

Multiply 2 on both sides in equation (2).

      .... (3)

Subtract equation (3) from equation (1).

The value of y is 100.

Substitute y=100 in equation (1).

Subtract 300 from both sides.

Divide both sides by 2.

The value of x is 200.

Therefore he own 200 shares of stock A and 100 shares of stock B.

46.2+112.3

step-by-step explanation: