Linda won $200,000 in a state lottery. she first paid income tax on 30% on the winnings. she invested some of the rest at 1.5% and some at 4%, earning $4350 interest per year. how much did she invest at each rate?

She invested $ 50000 at 1.5% rate and $ 90000 at 4% rate.

Explanation

Total amount of winnings = $ 200000

She first paid income tax on 30% on the winnings. So, the amount paid as income tax dollar.

Remaining amount = $ 200000 - $ 60000 = $ 140000

Suppose, she invested   dollar at 1.5% rate.

That means, she invested dollar at 4% rate.

Given that, the total amount of interest earned = $ 4350

So, the equation will be.....

So, amount of investment at 1.5% rate = $ 50000

and amount of investment at 4% rate = $ 140000 - $ 50000 = $ 90000  

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