Solve the Problem $\$ 25,000$ For One Year $5 \%$ , Another Part At

Multiple Choice

Solve the problem.
-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 combined 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) $\$ 10,000$ at $5 \% ; \$ 10,000$ at $6 \% ; \$ 5000$ at $8 \%$
C) $\$ 5000$ at $5 \% ; \$ 10,000$ at $6 \% ; \$ 10,000$ at $8 \%$
D) $\$ 8000$ at $5 \% ; \$ 10,000$ at $6 \% ; \$ 7000$ at $8 \%$