An investor invested a total of 1,400 in two mutual funds. One fund earned a 8% profit while the other earned a 3% profit. if the investor's profit was $67, how much was invested in each mutual fund?

To solve this problem, let's denote the amount invested in the mutual fund that earned an 8% profit as "x," and the amount invested in the mutual fund that earned a 3% profit as "y". We can set up a system of two equations to represent the given information.

Equation 1: x + y = 1,400 (since the total amount invested is $1,400)
Equation 2: 0.08x + 0.03y = 67 (since the total profit is $67)

To solve this system of equations, we can use the substitution method or the elimination method. Let's use the substitution method.

From Equation 1, we can isolate one variable:
x = 1,400 - y

Substituting this value into Equation 2, we have:
0.08(1,400 - y) + 0.03y = 67
112 - 0.08y + 0.03y = 67
0.03y - 0.08y = 67 - 112
-0.05y = -45

Now, let's solve for y:
y = (-45) / (-0.05)
y = 900

Substituting this value back into Equation 1:
x + 900 = 1,400
x = 1,400 - 900
x = 500

Therefore, $500 was invested in the mutual fund that earned an 8% profit and $900 was invested in the mutual fund that earned a 3% profit.