SOLUTION: Hey guys need help. To solve this problem. a woman invested $25,000 in two business ventured.last year she made a profit of 15 percent from the first venture but lost 5 percent

Question 874630: Hey guys need help. To solve this problem.
a woman invested $25,000 in two business ventured.last year she made a profit of 15 percent from the first venture but lost 5 percent from the second venture .if last year's income from the two investments was equivalent to a return of 8 percent on entire amount invested ,how much had she invested in each venture.

Plz .. help me
Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
Q:
A woman invested $25,000 in two business ventured.last year she made a profit of 15 percent from the first venture but lost 5 percent from the second venture .if last year's income from the two investments was equivalent to a return of 8 percent on entire amount invested ,how much had she invested in each venture.
A:
Let x = amount invested in the first venture
so 25000 - x = amount invested in the second venture
Equation: 0.15x - 0.05(25000 - x) = 0.08(25000)
0.15x - 1250 + 0.05x = 2000
0.2x = 3250,
x = 16250
so 25000 - x = 8750
Amount invested in the first venture: $16250
Amount invested in the second venture: $8750
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