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 = , or
Amount of walnuts to be purchased: x, or lb
Amount of almonds to be purchased: 2x, or , or lb
Amount of raisins to be purchased: 3x, or , or 1 lb
Amount of trail mix that can be made with $15: , or lbs
You can do the check!!
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