Donna wants to make trail mix made up of almonds, walnuts, raisins. she wants to mix one part almonds, two part 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.[ only an algebraic solution]

Question

Rachel Watkins

Mathematics

5 November, 16:21

Donna wants to make trail mix made up of almonds, walnuts, raisins. she wants to mix one part almonds, two part 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.[ only an algebraic solution]

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Answers (1)

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Micheal Valentine · Answer 1

Almons:walnuts:rasins=1:2:3

x=pounds of walnuts

y=pounds of almonds

z=pounds or rasins

2x=y

3x=z

subsitute

12x+9y+5z=15

12x+9 (2x) + 5 (3x) = 15

12x+18x+15x=15

45x=15

divide by 45

x=1/3

so

1/3 pound of walnuts

2x=y

2 (1/3) = y=2/3

2/3 pounds of almonds

3x=z

3 (1/3) = z

1=z

1 pound of rasins

1/3 pound walnuts

2/3 pound almonds

1 pound rasins