Question

Lisa Dawkins has ​$40 comma 000 invested in stock A and stock B. Stock A currently sells for ​$40 a share and stock B sells for ​$80 a share. If stock B triples in value and stock A goes up​ 50%, her stock will be worth ​$96 comma 000. How many shares of each stock does she ​own?

Answer 1

Answer:-

a = Number of stock A

b = Number of stock B

40a + 80b = 40000---------(1)

60a + 240b = 96000--------(2)

Equation (1) multiply 3

120a + 240b = 120000--------(3)

Next step :-

Equation (3) - Equation (2)

120a + 240b = 120000------(3)

60a + 240b = 96000---------(2)

60a + 0b = 24000

a = 24000/60

a = 400

Next step:-

a = 400 put Equation (1)

40(400) + 80b = 40000

16000 + 80b = 40000

80b = 40000 - 16000

80b = 24000

b = 24000/80

b = 300

Conclusion:-

Number of stock A = 400

Number of stock B = 300

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