Solve the problem.
-Roberto invested some money at $6 \%$, and then invested $\$ 5000$ more than twice this amount at $11 \%$. His total annual income from the two investments was $\$ 4750$. How much was invested at $11 \%$ ?
A) $\$ 35,000$
B) $\$ 30,000$
C) $\$ 3500$
D) $\$ 15,000$

Question

Quizplus · Accepted Answer

Let the amount invested at $6\%$ be $x$. Then, the amount invested at $11\%$ is $2x + 5000$. The total income is given by $0.06x + 0.11(2x + 5000) = 4750$. Solving this equation gives $x = 15000$, so the amount at $11\%$ is $2(15000) + 5000 = 35000$.

Solve the Problem 6%6 \%6% , and Then Invested $5000\$ 5000$5000 More Than Twice This Amount At

Solve the Problem $6 \%$ , and Then Invested $\$ 5000$ More Than Twice This Amount At