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swat32
3 years ago
7

Henri has $24,000 invested in stocks and bonds. The amount in stocks is $6,000 more than three times the amount in bonds. How mu

ch is each investment?
Mathematics
2 answers:
kotykmax [81]3 years ago
5 0

Answer:

<u>The amount of investment in bonds is US$ 4,500 and the amount of investment in stocks is US$ 19,500</u>

Step-by-step explanation:

Total investment in stocks and bonds = US$ 24,000

Amount of investment in bonds = x

Amount of investment in stocks = 3x + 6,000 (amount in stocks is $6,000 more than three times the amount in bonds)

For finding the value of x (amount of investment in bonds), we use this equation:

x + 3x + 6,000 = 24,000

x + 3x = 24,000 - 6,000

4x = 18,000

x = 4,500 (dividing by 4)

<u>The amount of investment in bonds is US$ 4,500</u>

Now let's find the amount of investment in stocks:

3x + 6,000 = 3 (4,500) + 6,000 = 13,500 + 6,000 = 19,500

<u>The amount of investment in stocks is US$ 19,500</u>

allsm [11]3 years ago
4 0

Answer:

Investment in stocks= $19.500

Investment in bonds= $4.500

Step-by-step explanation:

  1. Because of the first sentence you know that the amount of money invested in both stocks and bonds is $24.000, then if "s" is the amount of money spend in stocks and "b" the amount of money spend in bonds, b+s=24000
  2. Then, you are told that the amount of money invested in stocks is $6.000 more than three times the amount in bonds, which means that s= 6.000+3\times{b}
  3. We have two equations and two unknown variables (s and b): from the first equation we can say that s=24.000-b, while from the second equation we have that s=6.000+3\times{b}.
  4. Using these two equation we can say that 24.000-b=6.000+3\times{b}, from which we obtain b=4.500.
  5. Then, using this last result, and replacing it into the first equation we get that s=19.500
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