### Instruction: 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?### Response: Let's call the amount of money he invested in bonds x.
And since he invested 4.5 times as much in stocks as bonds, he invested 4.5x in stocks.
And the total amount he invested was x+4.5x=5.5x.
Right. And we know that 5.5x=165,000.
So x=30,000.
And if x=30,000, then 4.5x=135,000.