Monica received an inheritance of $70,000. She invested part at 11% and deposited the remainder in tax-free bonds at 10%. Her total annual income from the investments was $7500. Find the amount invested at 11%.

The correct answer is $50,000.

Explanation:

According to the scenario, the given data are as follows:

Amount = $70,000

Invested at rate = 11%

Tax free investment = 10%

Total income from investments = $7,500

So , we can calculate the invested at 11% by using following formula:

Let the amount invested at 11% = X

So,

= 11% × X + (70,000 - X) × 10% = $7,500

= 0.11 × X + (70,000 - X) × 0.1 = $7,500

= 0.11X + 7,000 - 0.1X = $7,500

= 0.11X -0.1X = $7,500 - $7,000

= 0.01X = $500

X = $500 / 0.01

= $50,000

Hence, the amount invested at 11% is $50,000.