SOLUTION: Donna wants to make trail mix made up of almonds, walnuts, and raisins. She wants to mix one part almonds, two parts walnuts, and three parts raisins. Almonds cost $12 per pound, w

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Donna wants to make trail mix made up of almonds, walnuts, and raisins. She wants to mix one part almonds, two parts walnuts, and three parts raisins. Almonds cost $12 per pound, w      Log On

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Question 1108035: Donna wants to make trail mix made up of almonds, walnuts, and raisins. She wants to mix one part almonds, two parts walnuts, and three parts raisins. Almonds cost $12 per pound, walnuts cost $9 per pound, and raisins cost $5 per pound.
Donna has $15 to spend on the trail mix. Determine how many pounds of trail mix she can make. ( have an algebraic solution)

Answer by mananth(16946) About Me  (Show Source):
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Donna wants to make trail mix made up of almonds, walnuts, and raisins. She wants to mix one part almonds, two parts walnuts, and three parts raisins. Almonds cost $12 per pound, walnuts cost $9 per pound, and raisins cost $5 per pound.
Donna has $15 to spend on the trail mix. Determine how many pounds of trail mix she can make. ( have an algebraic solution)
almonds, walnuts, and raisins.

Let quantity of trail mix she can make be x
1/12 part of x is almonds @ $12 per pound
2/12 part of x is walnuts @ $9 per pound
3/12 part of x is raisins @ $ 5 per pound
Cost of all three is $15
12(x/12) +9( x/6) +5( x/4) = 15
x+ 3x/2 + 5x/4 = 15
LCM
4x+6x+5x= 60
15x = 60
x =4
4 pounds of trail mix can be made by her