Question

Billy Goats invested some money in stocks and bonds. The total amount he invested was $\$165,\!000$. If he invested 4.5 times as much in stocks as he did in bonds, what was his total investment in stocks?

Answer 1

Billy Goats...lol...what a name...

s + b = 165,000
s = 4.5b

4.5b + b = 165,000
5.5b = 165,000
b = 165,000/5.5
b = 30,000...his investment in bonds

s + b = 165,000
s + 30,000 = 165,000
s = 165,000 - 30,000
s = 135,000 <=== his investment in stocks

Answer 2

An equation is formed when two equal expressions. The total investment that Billy made in stocks is $135,000.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the amount that is invested in stocks be represented by x, while the amount that is been invested in bonds is represented by y.

Given that Bily invested 4.5 times as much in stocks as he did in bonds. Therefore, the equation to represent the given situation can be written as,

x = 4.5y

Also, given that the total amount that Billy invested is $165,000. Therefore, the total invested amount can be written as,

$165,000 = x + y

Substitute the value of x in the equation,

$165,000 = 4.5y + y

$165,000 = 5.5y

y = $165,000 / 5.5

y = $30,000

Now substitute the value of y in the first equation to know Billy's investment in stocks.

x = 4.5y

x = 4.5($30,000)

x = $135,000

Hence, the total investment that Billy made in stocks is $135,000.

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