Question 910488
We know that the total for the two mixes is $511.50
4.60*x+5.95*y=511.5
We know that the mix at 4.60 has 2 times the amount at 5.95
We substitute for x
4.60*(2*y)+5.95*y=511.5
We multiply out
(9.20+5.95)*y=511.5
We combine like terms.
15.15*y=511.5
Isolate y
y= 33.7624
y=33.7624 at 5.95
Calculate x
x=2*y
x=67.5248 at 4.60
Your total for x  is 67.5248
Your total for y is 33.7624
Your total for x and y is 101.2871
Total invested  6752.48 +  3376.24=101.2871
We check
4.6*67.5248+5.95* 33.7624=511.5
  310.61+  200.89=511.5
511.5=511.5
Since this statement is TRUE and neither x nor y  is negative then all is well.