Question 1124263
total amount of money that was invested was 20,000.


one part of it earned 12%.


the other part lost 5%.


x = the part that earned 12%.
y = the part that lost 5%.


the total income from both investments was 2026.


your equation is:


.12 * x - .05 * y = 2026


also, x + y = 20,000


from the second equation, solve for y to get y = 20,000 - x


in the first equation replace y with 20,000 - x to get:


.12 * x - .05 * (20,000 - x) = 2026


simplify to get:


.12 * x - .05 * 20,000 + .05 * x = 2026


combine like terms to get:


.17 * x - 1000 = 2026


add 1000 to both sides of this equation to get:


.17 * x = 3026


solve for x to get x = 3026 / .17 = 17,800.


since x + y = 20,000, and x = 17,800, then y must be equal to 2,200.


he earned 12% on 17,800 and lost 5% on 2,200.


his net return was 2136 - 110 = 2026


that agrees with the problem statement, so the solution looks good.


the solution is he invested 17,800 that earned 12% and 2,200 that lost 5%.