Question 1142163
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Let  "x" be the amount (in pounds) of nuts worth $1.60 per pound. 


Then the amount of nuts worth $0.90 per pound is the rest (175-x) pounds.


The total cost equation is


    1.60*x + 0.90*(175-x) = 1.30*175   dollars.


From this equation, express x and calculate


    1.60x + 0.90*175 - 0.90x = 1.30*175


    x = {{{(1.30*175 - 0.90*175)/(1.60-0.90)}}} = 100.


<U>Answer</U>.  100 pounds at  $1.60  and  the rest, (175-100) = 75 pounds at $0.90.


<U>CHECK</U>.   The price per pound of the mixture is then  {{{(1.60*100 + 0.90*75)/175}}} = 1.30 dollars per pound.    ! Correct !
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Solved.