Question 1170298: Pho lin has investments in ebay and amazon stock. On match 9,2007, ebay stock closed at $30.82 per share and Amazon stock closed at $38.84 per share. Phos stock portfolio was worth $2866.60 at the end of the day. If pho owns 20 more shares of Amazon stock than eBay stock, how many of each type of stock does she own?
Answer by ikleyn(52780)   (Show Source):
You can put this solution on YOUR website! .
Pho lin has investments in ebay and amazon stock. On match 9,2007, ebay stock closed at $30.82 per share
and Amazon stock closed at $38.84 per share. Phos stock portfolio was worth $2866.60 at the end of the day.
If pho owns 20 more shares of Amazon stock than eBay stock, how many of each type of stock does she own?
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Let E be be the number of the eBay shares.
Then the number of the Amazon shares is (E+20).
Pho' stock portfolio was worth $2886.60. It gives you an equation
30.82*E + 38.84*(E + 20) = 2866.60.
From this equation
E =  = 30.
ANSWER. 30 eBay shares and (30+20) = 50 Amazon shares.
Solved.
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It is a standard and typical problem on shares.
If you need more details, or if you want to see other similar problems solved by different methods, look into the lesson
- Using systems of equations to solve problems on shares
in this site.
You will find there different approaches (using one equation or a system of two equations in two unknowns), as well as
different methods of solution to the equations (Substitution, Elimination).
Also, you have this free of charge online textbook in ALGEBRA-I in this site
- ALGEBRA-I - YOUR ONLINE TEXTBOOK.
The referred lesson is the part of this online textbook under the topic "Systems of two linear equations in two unknowns".
Save the link to this online textbook together with its description
Free of charge online textbook in ALGEBRA-I
https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson
to your archive and use it when it is needed.
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