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Hi,
Let x represent the amount invested at larger interest rate
Question states***
.10x + .08(20000 - x) = $1760
.02x = 1760 - 1600
.02x = 160
x = $8000 (smount at 10%). Amount at 8% was $12,000
And
CHECKING our Answer***
$800 + $960 = $1760