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
1. 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.
2. Determine how many pounds of trail mix he can make.
Let x be the quantity of almonds in pounds
Then 2x is the quantity of peanuts
And 3x is the quantity of raisins
And price per pound * quantity = total cost ....so....
12x + 8*(2x) + 6(3x) = 23 simplify
12x + 16x + 18x = 23
46x = 23 divide both sides by 46
x = 1/2 pounds of almonds
2x = 2(1/2) = 1 pound of peanuts
3x = 3(1/2) = 3/2 pounds of raisins
He can make 1/2 + 1 + 3/2 = 3 pounds of trail mix