Question 169932
Well, there's certainly nothing wrong with your initial equation!
0.08x + 0.05($200,000-x) = $14,800 Perform the indicated multiplication
0.08x+$10,000-0.05x = $14,800 Combine like-terms.
0.03x+$10,000 = $14,800 Subtract $10,000 from both sides.
0.03x = $4,800 Divide both sides by 0.03
x = $160,000 and...
$200,000-x = $200,000-$160,000 = $40,000
So $160,000 was invested at 8% while $40,000 was invested at 5%