Question 1189801
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Alpine Trail Mix is 40% nuts and Meadows Trail mix is 25% nuts. 
How much Alpine should be mixed with Meadows to form a 10 lb batch of trail mix that is 32% nuts?
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x pounds of the 40% nuts and

(10-x) pounds of the 25% nuts.


Now write the nuts balance equation for ingredients and for final mixture

    0.4x + 0.25*(10-x) = 0.32*10   pounds.


From the equation

    x = {{{(0.32*10-0.25*10)/(0.4-0.25)}}} = {{{((0.32-0.25)*10)/0.15}}} = {{{(0.07*10)/0.15}}} = {{{0.7/0.15}}} = 4 {{{10/15}}} = 4 {{{2/3}}} pounds.


<U>ANSWER</U>.  Take 4 {{{2/3}}} pounds of the 40% nuts and the rest, 5 {{{1/3}}} pounds of the 25% nuts.
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Solved.