Suppose that executive decides to invest X Dollars on the 8% annual interest investment. so that means that he would invest the remaining money on investment with 6% annual interests, which is = (26,000-X)
Total annual return he will get on 8% annual interest investment would be: X/100*8
Total annual return he will get on 6% annual interest investment would be: (26,000-X)*6 /100
We know that total annual return he got was $1,860 which is the sum of annual return of both the investments.
So: X*8/100 + (26,000-X)*6/100 = 1860
We now have a equation with only one variable X and we can find its value by solving this simple equation.
1860= 8X/100 + (26,000-X)*6/100
1860 = 8X/100+ 156000-6X/100
1860 = (8X+ 156000-6X)/100
186000 = 2X + 156000
186000 - 156000 = 2X
30000 = 2X
30000/2 = X
15000 = X
so X= 15000 and Y= 26000-15000 which is 11,000.
Executive invests 15,000 on the 8% annual interest investment and He invests 11,000 on the 6% investment.