Question 732388
This problem fits a very general two-part mixture situation.  Here will be the beginning of a purely symbolic solution.


L = $2.50/pound for the fruit
H = $7.00/pound for the nuts
T = $4.30/pound for the mixture
M = 50 pounds, quantity of the mixture
u = unknown pounds of fruit
v = unknown pounds of nuts


Objective is to solve for u and v.  A system of equations is necessary.


{{{highlight((Lu+Hv)/M=T)}}} and {{{highlight(u+v=M)}}}
More than one way to start this solution process from here, but you could begin by doing a few operations on the T equation.  It may be transformed to a linear equation of the two variables in standard for or general form, whichever you wish.  Anyhow, you have two linear equations in two unknowns.  Solve!


Once solved for u and v, just substitute your given values to compute u and v.