Tim has $$42,000$ to invest in a stock portfolio. His choices are Stock $P$ with an expected return of $20\%$ and

Stock $Q$ with an expected return of $12\%.$ His goal is to create a portfolio with an expected of $15\%.$ He will

invest all his money in Stock $P$ and Stock $Q.$

How much will he invest in Stock $P($$$)?$ Round$-$off your answer to an integer.

$[$Hint: Let $x$ be the weight of Stock P$.]$