SOLUTION: A person has $36,000 invested in Stock A and Stock B. Stock A currently sells for $30 a share and stock B sells for $60 a share. If stock B doubles in value and stock A goes up to

Question 1048561: A person has $36,000 invested in Stock A and Stock B. Stock A currently sells for $30 a share and stock B sells for $60 a share. If stock B doubles in value and stock A goes up to 50%, his stock will be worth $69,000. How many shares of each stock does he own?
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
30A+60B=36000
45A+120B=69000
multiply first by -2
-60A-120B=-72000
45A+120B=69000
-15A=-3000
A=200 shares or $6000 of current amount
60B is worth $30,000, so there are 500 shares of B
A=200
B=500
------------------------------
Check
If A is $45, then there is $9,000
if B is $120, then there is $60,000
They add to $69,000
RELATED QUESTIONS
Sarah Myers has $31,000 invested in stock A and stock B. Stock A currently sells for $50... (answered by josmiceli)

I need step by step instructions on how to solve the following: Michael Franklin has... (answered by solver91311)

Hello - I need assistance. I have a problem that I can't seem to figure out; please see... (answered by stanbon,neatmath,DrBeeee)

Jane has $16,000 invested in HP and Intel stock. The HP stock currently sells for $30 a... (answered by josmiceli)

I am stumped on this one, can someone help me out? I think I am overthinking this. I have (answered by ikleyn,MathTherapy)

I am stuck on a word problem: A woman has $16,000 invested in stock A and stock B. Stock (answered by mananth)

Shanika has invested in 3 different stocks. Stock A is currently worth $4.50 per share.... (answered by mananth,josmiceli)

Shanika has invested in three different stocks. Stock A is currently worth $4.50... (answered by addingup,MathTherapy)

You own 100 shares of Stock A and 30 shares of stock B. On Monday, stock A decreased by... (answered by oscargut)