Question 923226
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 $137
0.11*x+0.09*y=137
We know that the account at 11% has $700 more.
x=700+y
We substitute for x
0.11*(700+y)+0.09*y=137
We multiply out
77+0.11y+0.09*y=137
We combine like terms.
0.2*y=60
Isolate y
y=$300 at 9%
x=700+y
Calculate x
x=$1000 at 11%
Now,we know the total invested is: 1300
Total invested $1000+$300=$1300
We check
0.11*1000+0.09*300=137
110+27=137
137=137
Since this statement is TRUE and neither x nor y is negative all is well.
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