Linda Invests $\$ 25,000$ For One Year $5 \%$ , Another Part At

Multiple Choice

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