Question 905013

We know that the interest for the two accounts is $520
0.05*x+0.06*y=520
We know that the account at 5% has 4 times the amount at 6%
We substitute for x
0.05*(4*y)+0.06*y=520
We multiply out
(0.2+0.06)*y=520
We combine like terms.
0.26*y=520
Isolate y
y= 2000.00
y=$ 2000.00 at 6%
Calculate x
x=4*y
x=$ 8000.00 at 5%
Your total is $ 8000.00
Your total is $ 2000.00
Your total is $10000.00
Total invested $ 8000.00 + $ 2000.00=$10000.00
We check
0.05* 8000.00+0.06* 2000.00=520
  400.00+  120.00=520
520=520
Since this statement is TRUE and neither is negative then all is well.