Question 1203522
let x = the amoount invested at 14%.


your equation is:


.14 * x + .07 * (x + 2400) = 567


simplify to get .14 * x + .07 * x + .07 * 2400 = 567
simplify further to get .21 * x + 168 = 567.
subtract 168 from both sides of the equation to get:
.21 * x = 399.
divide both sides of the equation by .21 to get:
x = 1900.


replace x with 1900 in the original equation to get:
.14 * x + .07 * (x + 2400) = 567 becomes:
.14 * 1900 + .07 * (1900 + 2400) = 567
simmplify to get:
.14 * 1900 + .07 * 4300 = 567
simplify and combine like terms to get:
567 = 567.
this confirms the value of x is good.


youor solution is that the amount of money invested in the mutual fund is 1900.