a merchant wants to stock the shelves with 100 Ibs. of mixed nuts that cost $8.00 a Ibs. the merchant has cashews and peanuts. peanuts cost $6.00 a Ibs. and cashews that cost $12.00 a Ibs. how many Ibs. of each should the merchant use in the mixture?

Question

anonymous · Answer

x+y=100 lbs
x =100-y
X for cashews
y for peanuts
($12*X)+($6*y)=(100*80)
Subtitution X =100-Y
($12*(100-y))+($6*y)=$800
                    1200-12y +6y =800
                                     -6y =800-1200
                                         y =-400/-6
                                         y = 66.7
       X+Y=100bls
x+ 66.7 =100
            X=100-66.7
            X=33.3
you may round : 33.3= 33     ,   66.7 =67
33 bls cashew
67 bls peanut

anonymous · Answer

thank you soooo much