How many shares of each stock does she own? and waterfall stocks "no business is too big to fail"

How many shares of each stock does she own?

Shirley Cicero has $ 16,000 invested in Boeing and GE stock. The Boeing stock currently sells for $ 30 a share and the GE stock for $ 70 a share. If GE stock triples in value and Boeing stock goes up 50%, her stock will be worth $ 34,500. How many shares of each stock does she own?---must be done in an equation and solved in substitution, elimination, or a dependent or inconsistent system, thank you!


Stock best answer:

Answer by Bob B
30B + 70G = 16000 [at current prices, the total shares are worth $ 16,000]

45B + 210G = 34500 [Boeing up 50%, GE tripled raises value to $ 34,500]

Divide through equation 1 by 10:

3B + 7G = 1600

Divide through equation 2 by 15:

3B + 14G = 2300

Subtract equation 1 from equation 2 to eliminate B:

3B + 14G = 2300
-(3B + 7G = 1600)
-------------------------
7G = 700

Divide both sides by 7:

G = 100

She owns 100 shares of GE. Since that's currently worth $ 7,000, her remaining $ 9,000 is in 300 shares of Boeing stock.

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