Question 1186993
x equals the investment at 4%.
y equals the investment at 3.5%.


you have two equations that need to be solved simultaneously.


they are:


x + y = 10000
.04x + .035y = 380


multiply both sides of the first eqution by .04 and leave the second equation as is to get:


.04x + .04y = 400
.04x + .035y = 380


subtract the second equation from the first to get:


.005y = 20


solve for y to get:


y = 20/.005 = 4000


that makes x equal to 10000 - 4000 = 6000.


.04*6000 + .035*4000 = 240 + 140 = 380.


this confirms the solution is correct.


your solution is that 6000 is invested at 4% and 4000 is invested at 3.5%.