The amount invested in the mutual fund that earned 9​% was ​$

Question

An investor invested a total of

​$3,000

in two mutual funds. One fund earned a

9​%

profit while the other earned a

6​%

profit. If the​ investor's total profit was

​$228​,

how much was invested in each mutual​ fund?

Answer 1

Let x and y be the two amounts invested.

x+y=3000 --> y = 3000-x

Assuming simple interest (i=Prt) and t=1:

.09x + .06y = 228

.09x + .06(3000-x) = 228

.09x + 180-.06x = 228

.03x=48

x = 1600

y = 1400

Check

.09(1600)+.06(1400) = 144+84 = 228