You have $$140,000$ to invest in a portfolio containing Stock X$,$ Stock Y$,$ and a risk$-$free asset. You must invest all of your money. Your goal is to create a portfolio that has an expected return of $12$ percent and that has only $78$ percent of the risk of the overall market. If X has an expected return of $29$ percent and a beta of $1\mathrm{.}9,$ Y has an expected return of $18$ percent and a beta of $1\mathrm{.}3,$ and the risk$-$free rate is $6$ percent, how much money will you invest in Stock Y$?($Do not round intermediate calculations. Round your answer to the nearest whole dollar.$)$