Problema Solution

a person invested $42,000 in three funds paying 5%, 7%, and 9% simple interest. The total annual interest from these investments was $2,600. the amount of money invested at 5% was $200.00 less than the amount invested at 7% and 9% combined. How much was invested in each fund? Check your solution.

Answer provided by our tutors

assume the the amount of money invested at 5% was X ,so the amount invested at 7% and 9% combined was x + $200

x + (x + $200) = $2600

x = $1200 

the invested in 5% is $1200

so the count of 5% is $1200 /5% = $24000 

the count of 7% and 9% is $42000-$24000 = $18000

assume the count of 7% is y 

so 7%y + 9%($18000 - y) = $1200 + $200

0.02y = $1620 - $1400 = $220 

y = $11000 

so the invested in 7% is 11000*7% = $770

the invested in 9% is 9%(18000 - y) = $630