Can you answer this question in a simple way and please show your working in sim

Question

Can you answer this question in a simple way and please show your working in simple too since I don't know what formula to use on this question (If possible, diagram for working out)

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You have $10,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 13 percent and Stock Y with an expected return of 8.5 percent. If your goal is to create a portfolio with an expected return of 11.9 percent, how much money will you invest in Stock X? In Stock Y?

Explanation / Answer

Let investment in X=$x

Hence investment in Y=(10000-x)

Expected return=Respective return*Respective weights

0.119=(x/10000*0.13)+(10000-x)/10000*0.085

(0.119*10000)=0.13x+850-0.085x

1190=x(0.13-0.085)+850

Hence x=(1190-850)/(0.13-0.085)=$7555.56=investment in X

Hence investment in Y=(10000-7555.56)=$2444.44(Approx)

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