SOLUTION: Hello! I've tried this problem a few ways, and cannot seem to arrive at the answer (the answer I already know b/c of the answers listed in the back of the book). Can you please hel

Question 951838: Hello! I've tried this problem a few ways, and cannot seem to arrive at the answer (the answer I already know b/c of the answers listed in the back of the book). Can you please help me with the how/why? (The answers say $13,500 for bonds and $22,500 for stocks).
"Suppose you receive an unexpected inheritance of $36,000. You have decided to invest the money by placing some of the money in stocks and some in bonds. To diversify, you decided that five times the amount invested in bonds should equal three times the amount invested in stocks. How much should be invested in stocks? How much should be invested in bonds?"
I know you have to solve this using a system of equations. I've tried using substitution and process of elimination method to solve this system:
b + s = 36,000
5b + 3s = 36,000 (I have a feeling the 36,000 is the wrong number)
Can someone please help me figure this out? Thanks a million!

Found 2 solutions by ankor@dixie-net.com, MathTherapy:
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
"Suppose you receive an unexpected inheritance of $36,000. You have decided to invest the money by placing some of the money in stocks and some in bonds. To diversify, you decided that five times the amount invested in bonds should equal three times the amount invested in stocks. How much should be invested in stocks? How much should be invested in bonds?"
I know you have to solve this using a system of equations. I've tried using substitution and process of elimination method to solve this system:
b + s = 36,000
"five times the amount invested in bonds should equal three times the amount invested in stocks"
5b = 3s
b = s
b = .6s
Replace with with .6s in the 1st equation

Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!

Hello! I've tried this problem a few ways, and cannot seem to arrive at the answer (the answer I already know b/c of the answers listed in the back of the book). Can you please help me with the how/why? (The answers say $13,500 for bonds and $22,500 for stocks).
"Suppose you receive an unexpected inheritance of $36,000. You have decided to invest the money by placing some of the money in stocks and some in bonds. To diversify, you decided that five times the amount invested in bonds should equal three times the amount invested in stocks. How much should be invested in stocks? How much should be invested in bonds?"
I know you have to solve this using a system of equations. I've tried using substitution and process of elimination method to solve this system:
b + s = 36,000
5b + 3s = 36,000 (I have a feeling the 36,000 is the wrong number)
Can someone please help me figure this out? Thanks a million!

B + S = 36,000 ------- This is correct
B = 36,000 - S ------- Solving for B ------ eq (i)
5B = 3S ------- eq (ii)
Substitute 36,000 - S for B in eq (ii)
Then solve for S: the amount to invest in stocks
Substitute the value of S into any of the 2 original equations to determine the value of B: the amount to invest in bonds.
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