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) At 5%: $10,000; at 6%: $5000; at 8%: $10,000
B) At 5%: $8000; at 6%: $10,000; at 8%: $7000
C) At 5%: $10,000; at 6%: $10,000; at 8%: $5000
D) At 5%: $5000; at 6%: $10,000; at 8%: $10,000

Question

Quizplus · Accepted Answer

Let the amounts invested at 5%, 6%, and 8% be x, y, and z respectively. We have three equations based on the given information:1) x + y + z = 25,000 (total investment)2) 0.05x + 0.06y + 0.08z = 1,600 (total income)3) 0.05x + 0.06y = 0.08z (income from 5% and 6% investments equals income from 8% investment)Solving these equations simultaneously, we find that x = $10,000, y = $5,000, and z = $10,000, which corresponds to choice A.

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