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Abigail invested some money at $10\%$ interest and $\$1500$ more than that amount at $11\%$ interest. Her total yearly interest was $\$795$.

How much did she invest at each rate?

$\$2000$ at $10\%$ interest and $\$3500$ at $11\%$ interest

$\$2500$ at $10\%$ interest and $\$4000$ at $11\%$ interest

$\$4000$ at $10\%$ interest and $\$5500$ at $11\%$ interest

$\$3000$ at $10\%$ interest and $\$4500$ at $11\%$ interest