Question 1099901
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Let x be the amount of raisins (in pounds) to be mix. 

Then the amount of nuts is (25-x) pounds.


x pounds of raisin cost 14x pesos.

(25-x) pounds of nuts cost 22*(25-x) pesos.


The total cost for ingredients is  14x + 22*(25-x).

Isko wants 25 pounds of the mixture cost 16 pesos per pound. In other words,


{{{(14x + 22*(25-x))/25}}} = 16  pesos per pound.


It is your basic "money" (or "price") equation.


To solve it, multiply both sides by 25. You will get

14x + 22*(25-x) = 16*25,   or

14x + 550 - 22x = 400,   or

-8x = 400 - 550 = 150  ====>  x = {{{(-150)/(-8)}}} = 18.75.


<U>Answer</U>.  Isko should mix  18.75 pounds of raisins with  25-18.75 = 6.25 pounds of nuts.


<U>Check</U>.   (18.75*14 + 6.25*22)/25 = 16 pesos per pound.  ! Correct !
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Solved.