Answer:
$994,594.59
Step-by-step explanation:
If the investments were in the ratio 3:5, the returns on those investments were ...
3×0.08 +5×0.10 = 0.74 . . . . . ratio units
This return is $92,000, so each ratio unit of investment is ...
$92,000/0.74 = $124,324.32 (and change)
The total investment was 8 ratio units, so was ...
$124,324.32 × 8 = $994,594.59 . . . . total amount invested.
_____
Check
3/8 of the invested amount earned 8%, so that interest was ...
$994,594.59×(3/8)×(0.08) = $29,837.84
5/8 of the invested amount earned 10%, so that interest was ...
$994,594.59×(5/8)×(0.10) = $62,162.16
The total interest earned was $29,837.84 +62,162.16 = $92,000.
