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
<pre><font face = "Tohoma" size = 4 color = "indigo"><b>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 = {{{15/45}}}, or {{{1/3}}}

Amount of walnuts to be purchased:  x, or {{{1/3}}} lb
Amount of almonds to be purchased: 2x, or {{{2 * (1/3)}}}, or {{{2/3}}} lb
Amount of raisins to be purchased: 3x, or {{{3 * (1/3)}}}, or 1 lb
Amount of trail mix that can be made with $15: {{{(1/3) + (2/3) + 1}}}, or {{{highlight_green(2)}}} lbs
You can do the check!! 
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</font face = "Tohoma" size = 4 color = "indigo"></b>Send comments, “thank-yous,” and inquiries to “D” at MathMadEzy@aol.com.
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