Question 635058
Total investment = $3000
Amount invested for 4% profit = x
Amount invested for 2% profit = 3000-x
Total Profit = $98



(Amount invested for 4% profit)(4%)+ (Amount invested for 2% profit)(2%)= Total Profit
(x)(4/100)+ (3000-x)(2/100)= 98
Multiply by 100 both sides 
(100)(x)(4/100)+ (100)(3000-x)(2/100)= 98*100
4x+(3000-x)(2)= 9800
4x+6000-2x=9800
2x=9800-6000
2x=3800
x=3800/2
x=1900



Amount invested for 4% profit = x = 1900
Amount invested for 2% profit = 3000-x = 3000-1900=1100



Check
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4% of 1900 = (4/100)(1900)=(4)(19)=76
2% of 1100 = (2/100)(1100)=(2)(11)=22
Total profit = 76+22=98