A businessman invested a total of \(\$ 200.000\) in two companies which paid dividends of \(5 \%\) and \(7 \%\) respectively. If he received a total of \(\# 11,600\), how much did he invest at \(7 \%\) ____________
A. # 140,000 B. #160.000 C. # 80,000 D. # 100,000
Correct Answer: C
Explanation
Total money invested \(=\forall 200,000\)ompany A Company B \(5 \%\) dividend \(\quad 7 \%\) dividend Let the amount invested in B be \(x\), so that from the statement we establish the equation \(0.05(200.000-x)+0.07 x=11600\) \(10000-0.05 x+0.07 x=11600\) \(0.02 x=1600\) \(x=80,000\) hence, the invested \(\# 80,000\) at \(7 \%\)