Investment math problem?

Question

Suppose that your long lost aunt Sara has left you an unexpected inheritance of $24,000. You have decided to invest the money rather than spend it on frivolous purchases. Your financial advisor has recommended that you diversify by placing some of the money in stocks and some in bonds. Based upon current market conditions, she has recommended that the amount in bonds should equal three-fifths of the amount invested in stocks. How much should be invested in stocks? How much should be invested in bonds?

anybody?

Answer 1

Set up an equation. Set the value of x to be the value invested in stocks since the value of stocks is a whole number. The equation would be

x + 3x/5 = $24,000

8x/5 = $24,000

8x = $120,000

x = $15,000

Since x is the value invested in stocks, plug it into

3(x)/5

3($15,000)/5

$45,000/5

$9,000

Therefore the amount invested in stocks is $15,000 and the amount invested in bonds is $9,000.

Answer 2

x = money in stocks

24000=3/5 *x + x

24000=8/5(x)

24000*5/8=x

15000=x

to check it stick mit back into the equation to see if its true

24000=3/5 (15000) + 15000

24000=24000 so it is true

24000-15000=9000 in bonds

Answer 3

let X = amout invested in stock

then 3/5 * X = 3X / 5 = amount invested in bonds

X + 3X/5 = 24,000

5X / 5 + 3X / 5 = 24,000

8X / 5 = 24,000

8X = 5 * 24,000 = 120,000

X = 120,000 / 8 = 15,000 = amount in stocks

3/5 X = 9,000 = amount in bonds

Answer 4

x = amount invested in stocks

24000 = x + x * 3/5

24000 = 8/5 x

15000 = x

stocks 15000

bonds= 24000 - 15000 = 9000

Answer 5

Let the amount invested in stocks = x

The amount invested in bonds = (3/5)x

So x + (3/5)x = 24000

(8/5)x = 24000

8x = 120,000

x = 15,000

So $15000 should be invested in stocks and $9000 should be invested in bonds.