Solve.
-Linda invests $25,000 for one year. Part is invested at 5%, another part at 6%, and the rest at 8%. The total income from all 3 investments is $1600. The income from the 5% and 6% investments is the same as the income
From the 8% investment. Find the amount invested at each rate.
A)$10,000 at 5%, $5000 at 6%, $10,000 at 8%
B)$5000 at 5%, $10,000 at 6%, $10,000 at 8%
C)$8000 at 5%, $10,000 at 6%, $7000 at 8%
D)$10,000 at 5%, $10,000 at 6%, $5000 at 8%

Question

Quizplus · Accepted Answer

Let's denote the amounts invested at 5%, 6%, and 8% as x, y, and z, respectively. We have three pieces of information:1. The total investment is $25,000: $x + y + z = 25,000$.2. The total income from the investments is $1,600: $0.05x + 0.06y + 0.08z = 1,600$.3. The income from the 5% and 6% investments equals the income from the 8% investment: $0.05x + 0.06y = 0.08z$.Solving these equations simultaneously, we find that $x = 10,000$, $y = 5,000$, and $z = 10,000$, which corresponds to option A: $10,000 at 5%, $5,000 at 6%, $10,000 at 8%.

Solve. -Linda Invests $25,000 for One Year. Part Is Invested at at 5