Tasha wants 25 pounds of a nut mix that she can sell for $5.00 per pound. If she has cashews that sell for $6.50 per pound and pistachio nuts that sell for $4.00 per pound, how much of each should she use?

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Answer 1 · 2015-09-08T11:18:23

Cashews = 10 pounds
pistachio = 15 pounds

Total nuts = 25 pounds
Cashews = x pound
pistachio = (25 - x ) pounds

#(6.5 xx x)+[4(25-x)]=(5 xx 25)#
#6.5 x+[100-4x]=125#
#6.5 x+100-4x=125#
#2.5 x=125-100=25#
# x=25/2.5=10#

Cashews = 10 pounds
pistachio = (25 - 10 ) = 15 pounds