Question 1011881
x = part invested at 8%.
y = part invested at 9%


x + y = 340,000


.08x = .09y


solve for x to get x = .09y/.08 which becomes x = 1.125y


in the equation x + y = 340,000, replace x with 1.125y to get 1.125y + y = 340,000.


combine like terms to get 2.125y = 340,000.


solve for y to get y = 340,000 / 2.125 = 160,000.


since x = 1.125y, you get x = 1.125 * 160,000 = 180,000.


the amount invested at 8% is 180,000.


the amound invested at 9% is 160,000


.08 * 180,000 = 14,400.


.09 * 160,000 = 14,400.


the income is the same, so the solution is good.