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Neil invested a total of ${\$11{,}000}$ in two accounts. After a year, one account had lost $7.2\%$ , while the other account gained $6.9\%$ . In total, Neil lost $510. How much money did Neil invest in each account?

Neil invested in the account with $7.2\%$ loss.

Neil invested in the account with $6.9\%$ gain.

You can earn partial credit on this problem.