# SOLUTION: Gina is going to a party and was asked to bring 3lbs of mixed nuts that includes cashews and peanuts. If the cashews cost \$6.00 per pound and the peanuts cost \$1.50 per pound, how

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 Question 85592: Gina is going to a party and was asked to bring 3lbs of mixed nuts that includes cashews and peanuts. If the cashews cost \$6.00 per pound and the peanuts cost \$1.50 per pound, how many pounds of each did she buy if her total cost was \$9.00? I know the answer from doing it in my head, I just need help setting up the equation properly on paper. Thanks for your input / time!Answer by ptaylor(2048)   (Show Source): You can put this solution on YOUR website! Let x=number of lbs cashews Then 3-x=number of lbs of peanuts We know that \$6.00x=cost of the cashews We also know that \$1.50(3-x)=cost of peanuts Now we are told that her total cost was \$9.00, so our equation to solve is: \$6.00x+\$1.50(3-x)=\$9.00 get rid of parens \$6.00x+\$4.50-\$1.50x=\$9.00 subtract \$4.50 from both sides \$6.00x+\$4.40-\$4.50-\$1.50x=\$9.00-\$4.50 collect like terms \$4.50x=\$4.50 divide both sides by \$4.50 x=1 lb---------------------------------number of lbs of cashews 3-x=3-1=2 lbs-----------------------number of lbs of peanuts CK \$6.00(1)+\$1.50(2)=\$9.00 \$6.00+\$3.00=\$9.00 \$9.00=\$9.00 Hope this helps---ptaylor