A total of $25,000 is invested in two funds paying 5% and 6% annual interest. The combined annual interest is $1,400. How much of the $25,000 is invested into each type of fund?

Question

anonymous · Answer

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A total of $25,000 is inested in two funds paying 5% and 6% annual interest. The combined annual interest is $1400. How much of the $25,000 is invested in each fund?
 :
 let x = amt invested at 6%, then (25000-x) = amt invested at 5%
 :
 interest at 6% + interest at 5% = 1400
 .06x + .05(25000 - x) = 1400
 .06x + 1250 - .05x = 1400

 

 
 .06x - .05x = 1400 - 1250
 .01x = 150
 x = 150/.01
 x = $15,000 invested at 6%
 :
 25000 - 15000 = $10,000 invested at 5%
 :
 Check: .05(10000) + .06(15000) = 1400
 .

anonymous · Answer

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