<PRE><B>Question 907145</B>
We know that the cost for the two blends is $785.85
5.35*x+4.10*y=785.85
We know that the blend at $5.35 has 3 times the amount at $4.10
We substitute for x
5.35*(3*y)+4.10*y=785.85
We multiply out
(16.05+4.10)*y=785.85
We combine like terms.
20.15*y=785.85
Isolate y
y= 39
y= 39 lbs at $4.10
Calculate x
x=3*y
x=117 lbs at $5.35
Your total for x  is 117 lbs
Your total for y is  39 lbs
Your total for x and y is 156 lbs
Total mixed  117 + 39=156  lbs
We check
5.35*117+4.10*39=785.85
  625.95+159.90=785.85
785.85=785.85
Since this statement is TRUE and neither is negative then all is well.
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