# SOLUTION: The owners of a candy store want to sell, for \$5 per pound, a mixture of chocolate-covered raisins, which usually sells for \$3 per pound, and chocolate-covered macadamia nu

Algebra ->  Algebra  -> Customizable Word Problem Solvers  -> Misc -> SOLUTION: The owners of a candy store want to sell, for \$5 per pound, a mixture of chocolate-covered raisins, which usually sells for \$3 per pound, and chocolate-covered macadamia nu      Log On

 Ad: Over 600 Algebra Word Problems at edhelper.com Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations! Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!

 Word Problems: Miscellaneous Word Problems Solvers Lessons Answers archive Quiz In Depth

 Question 193721: The owners of a candy store want to sell, for \$5 per pound, a mixture of chocolate-covered raisins, which usually sells for \$3 per pound, and chocolate-covered macadamia nuts, which usually sells for \$8 per pound. They have a 50 pound barrel of the raisins. How many pounds of the nuts should they mix with the barrel of raisins so that they hit their target value of \$5 per pound for the mixture? Answer by Earlsdon(6287)   (Show Source): You can put this solution on YOUR website!Let x = the required number of pounds of macadamia nuts at \$8.00 per pound. These will be mixed with the 50 pounds of chocolate-covered raisins (mmmm) at \$3.00 per pound. The final result will be (50+x) pounds of mixture at \$5.00 per pound. So, putting it all together, we get the cost of the 50 pounds chocolate-covered rains is \$3.00(50) and the cost of the x pounds of macadamia nuts is \$8.00(x) and the sum of these two will be (x+50) pounds of the mixture at \$5.00 per pound. Let's write the equation to solve for x. 3(50)+8(x) = 5(50+x) Simplify. 150+8x = 250+5x Subtract 5x from both sides. 150+3x = 250 Subtract 150 from both sides. 3x = 100 Divide both sides by 3. x = 33.33 So the candy store owners will need to mix 33 1/3 pounds of macadamia nuts (at \$8.00 per pound) with the 50 pounds of chocolate-covered raisins (at \$3.00 per pound) to obtain 83 1/3 pounds of mixture at \$5.00 per pound.