A Retired Couple Invested a Total Of $\$ 130,000$ They Invested Some of the Money in Safe Certificates

Multiple Choice

A retired couple invested a total of $\$ 130,000$ . They invested some of the money in safe certificates of deposit yielding $5 \%$ . The remainder they invested in AA bonds yielding $10 \%$ per year. In the first year they made a total profit of $\$ 11,000$ . How much did they invest at each rate?

A) $\$ 90,000$ at $5 \%$ and $\$ 40,000$ at $10 \%$
B) $\$ 100,000$ at $10 \%$ and $\$ 30,000$ at $5 \%$
C) $\$ 80,000$ at $5 \%$ and $\$ 50,000$ at $10 \%$
D) $\$ 90,000$ at $10 \%$ and $\$ 40,000$ at $5 \%$