Question 744142
x = price in dollars per bag for cashews.
n = amount of bags of each of the two type of nuts to make the 44 bags


1 bag peanuts = x-0.26 dollars per bag
1 bag cashews = x dollars per bag.


Accounting for bags of nuts, {{{n+n=44}}}, but this will be found not very important in the solution.


Accounting for price or cost,
{{{((x-0.26)*n+x*n)/(2n)=1.30}}} dollars per bag, the mixture.
THAT IS most of the way toward the whole solution.  Note clearly what happens as you take further steps:


{{{(((x-0.26)+x)/2)*(n/n)=1.30}}},  and because {{{n/n=1}}},
{{{(x-0.26+x)/2=1.30}}}
and you can finish finding the value for x.



x=1.17 dollars per bag.