Question 902241
We don't know the total invested. We know the difference in the two accounts.
We know that the interest for the two accounts is $245
0.07*x+0.06*y=245
We know that the account at 7% has $2200 more.
x=2200+y
We substitute for x
0.07*(2200+y)+0.06*y=245
We multiply out
154+0.07y+0.06*y=245
We combine like terms.
0.13*y=91
Isolate y
y=$700 at 6%
x=2200+y
Calculate x
x=$2900 at 7%
Total invested $2900+$700=$3600
We check
0.07*2900+0.06*700=245
203+42=245
245=245
Since this statement is TRUE then it is ok