Please help me...

Question

Two investments totaling $58,500 produce an annual income of $3795. One investment yields 5% per year, while the other yields 7% per year. How much is invested at each rate?

Answer 1

Let x = amount invested at 5%

Then, 58500 - x = amount invested at 7%

0.05x + 0.07(58500 - x) = 3795

-0.02x + 4095 = 3795

-0.02x = -300

x = $15,000 and y = 58500 - x = $43,500

Invest $15,000 at 5% and $43,500 at 7%