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>