Question 17958
Let x = the amount invested at 7% (= 0.07) and ($15,000 - x) the amount invested at 6.5% (= 0.065).  Change the percents to decimals and then set up your equation. Solve for x:

{{{(0.07)x + (0.065)(15000-x) = 1020}}} Simplify and solve for x.
{{{0.07x + 975 - 0.065x = 1020}}} Subtract 975 from both sides.
{{{0.005x  = 45}}} Divide both sides by 0.005
{{{x = 9000}}}

The amount invested ay 7% is $9,000
The amount invested at 6.5% is ($15,000 - $9,000) = $6,000

Check:

{{{(0.07)(9000) + (0.065)(6000) = 630 + 390 = 1020}}}