Question 946768
p, b, c, for peanut, brazil nut, cashew nut quantities IN KILOGRAMS.


NUT_________|_______PRICE
peanut______|_______0.5 per 0.1 kg
brazil______|_______1.10 per 0.1 kg
cashw_______|_______0.90 per 0.1 kg


Already known to use b=20 kg,  ALL of the brazil nuts for the mixture.
WANT:  {{{(0.80/0.10)(pound/kilogram)}}}  mixture price.  Also mixture quantity 100 kg.


Account for mass or kilograms and account for total cost, and compare to the required price.


{{{(cost)/(mass)=price}}}


{{{(p(0.5/0.1)+20(1.1/0.1)+c(0.9/0.1))/(100)=(0.8/0.1)}}}  AND  {{{highlight(p+20+c=100)}}}.


Those are a system of, once simplified, two linear equations in the two unknown variables, p and c.


The price equation initially simplifies to {{{highlight((5p+11*20+9c)=800)}}}.
Go on from there....


Understand, "pound" as used here is a MONEY unit.