Question 902461
We know the total amount of money invested. $12500
x+y=12500,
We know that the total interest for the year for the two accounts is $420
0.035*x+0.03*y=420
x=12500-y
We substitute for x
0.035*(12500-y)+0.03*y=420
We multiply out
437.5-0.035y+0.03*y=420
We combine like terms.
-0.005*y=-17.5
Isolate y
y=3500 at 3%
x=12500-y
Calculate x
x=9000 at 3.5%
We check
0.035*9000+0.03*3500=420
315.0+105=420
420.0=420