SOLUTION: You invest $14000, part of it in stock that paid 15% annual interest. However, the rest of the money suffered 5% loss. If the total annual income from both investments was $700, ho

Question 951981: You invest $14000, part of it in stock that paid 15% annual interest. However, the rest of the money suffered 5% loss. If the total annual income from both investments was $700, how much was invested at each rate?

Answer by macston(5194) (Show Source): You can put this solution on YOUR website!
F=amount at 15%; L=amount at loss
F+L=$14000
F=$14000-L
0.15F-0.05L=$700 Substitute for F and solve for L
0.15($14000-L)-0.05L=$700
$2100-0.15L-0.05L=$700 Subtract $700 from each side.
$1400-0.20L=0 Add 0.20L to each side
$1400=0.20L Divide each side by 0.02
$7000=L ANSWER 1: $7000 suffered a 5% loss.
F=$14000-L=$14000-$7000=$7000 ANSWER 2: $7000 was invested at 15%
CHECK:
0.15($7000)-0.05($7000)=$700
$1050-$350=$700
$700=$700

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