please help, this is my last question of the quarter-Thank you!!

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 less than the amount invested at 7% and 9% combined. How much was invested in each fund? Check your solution

Question

please help, this is my last question of the quarter-Thank you!!

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 less than the amount invested at 7% and 9% combined. How much was invested in each fund? Check your solution

rosey · Answer

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anonymous · Answer

Solve the following simultaneous equations for x, y and z:$$\frac{5}{100} x+\frac{7}{100} y+\frac{9}{100} z=2600,x\text{=}(y+z)-200,x+y+z=42000$$$$\{x=20900,y=17200,z=3900\} $$$$.05*20900+.07*17200+.09*3900=2600  $$