A person has ​$46,000 invested in stock A and stock B. Stock A currently sells for ​$50 a share and stock B sells for ​$70 a share. If stock B doubles in value and stock A goes up​ 50%, his stock will be worth ​$79,500. How many shares of each stock does he​ own?     The person owns _________________ shares of stock A         and ______________shares of stock B

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
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A person has
​$46,000
invested in stock A and stock B. Stock A currently sells for
​$50
a share and stock B sells for
​$70
a share. If stock B
doubles
in value and stock A goes up​ 50%, his stock will be worth
​$79,500.
How many shares of each stock does he​ own?
 
 
The person owns
_________________
shares of stock A     
 
 and ______________shares of stock B.
Expert Solution
Step 1

Let the number of stock A=x

And number of stock B=y

Then according to the question

50x+70y=46,000......175x+140y=79,500......2

Now solve the equation (1) and equation (2)

Multiply equation (1) by -2

 -250x+-270y=-246000-100x-140y=-92000......3

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