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, wa

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Question 936554: 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.
A. 2
B. 5
C. 6
D. 13

Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
a:w:r, 1:2:3.
x, unknown factor;

x%2A12%2B2x%2A9%2B3x%2A5=15, to account for cost.

12x%2B18x%2B15x=15
45x=15
x=3

3 pounds Almonds,
6 pounds walnuts,
9 pounds raisins.

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!
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.
A. 2
B. 5
C. 6
D. 13
Let multiplicative factor be x
Then amount of walnuts to buy = 1(x), or x
Amount of almonds to buy = 2(x), or 2x
Amount of raisins to buy = 3(x), or 3x
Cost of x lbs of walnuts: 12x
Cost of 2x lbs of almonds: 2x(9), or 18x
Cost of 3x lbs of raisins: 3x(5), or 15x
We then have: 12x + 18x + 15x = 15
45x = 15
x, or multiplicative factor = 15%2F45, or 1%2F3
Amount of walnuts to be purchased: x, or 1%2F3 lb
Amount of almonds to be purchased: 2x, or 2+%2A+%281%2F3%29, or 2%2F3 lb
Amount of raisins to be purchased: 3x, or 3+%2A+%281%2F3%29, or 1 lb
Amount of trail mix that can be made with $15: %281%2F3%29+%2B+%282%2F3%29+%2B+1, or highlight_green%282%29 lbs
You can do the check!!
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