Question

Billy wants to make trail mix using almonds, peanuts, and raisins. He wants to mix one part almonds, two parts peanuts, and three parts raisins. Almonds cost $12 per pound, peanuts cost $8 per pound, and raisins cost $6 per pound. Let x represent the number of pounds of almonds. a. Billy has $23 to spend on the trail mix. Write an equation to find the number of pounds of almonds Billy will be able to buy. b. Determine how many pounds of trail mix he can make

Answer 1

Let "6x" be the # of lbs he can make.
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1 part almond ; 2 parts peanuts ; 3 parts raisin
Quantity:
x almonds costs 12x dollars
2x walnuts costs 9*2x = 18x dollars
3x raisins costs 5*3x = 15x dollars

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Equation:
12x + 18x + 15x <= 15 dollars
45x = 15 dollars
x = 1/3 dollar
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Quantity = 6x lb = 2 lb




Hope I helped




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