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 $8 \%$

Question

Quizplus · Accepted Answer

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

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

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