What is the amount invested at 14% in the growth​ fund?

Question

A bank invested $440,000
last year in mutual funds. The conservative fund earned 7% simple interest. The growth fund earned 14% simple interest. At the end of the year, the bank had earned $56,000 from these mutual funds. How much did it invest in each fund?
What is the amount invested at 14% in the growth fund?

Answer 1

 

   X+Y = 440000

 

 0.07X + 0.14Y = 56000

 

 

So

   Y = 440000 - x

 7x + 14Y = 5600000

 

 7x + 14(440000 - x) = 5600000

 

 7x - 14x + 6160000 = 5600000

 

 -7x = -560000

 

 x = 80000

 

80000 conservative

360000 growth