The owner of a candy store mixed some peanuts worth $2 per pound, some cashews worth $8 per pound, and some Brazil nuts worth $8 per pound to get 50 pounds of a mixture that would sell for $5 per pound. She used 15 fewer pounds of cashews than peanuts. How many pounds of each did she use?
A) 15 lb peanuts, 10 lb cashews, 25 lb Brazil nuts
B) 15 lb peanuts, 20 lb cashews, 30 lb Brazil nuts
C) 25 lb peanuts, 10 lb cashews, 15 lb Brazil nuts
D) 30 lb peanuts, 15 lb cashews, 20 lb Brazil nuts
E) 10 lb peanuts, 25 lb cashews, 15 lb Brazil nuts

Question

Quizplus · Accepted Answer

The total weight is 50 pounds, and the mixture sells for $5 per pound, so the total value is $250. Let x be the pounds of peanuts, then cashews are x-15 pounds. The remaining weight is Brazil nuts: 50 - x - (x-15). Solving the equation 2x + 8(x-15) + 8(65-2x) = 250 gives x = 25, so 10 pounds of cashews and 15 pounds of Brazil nuts.

The Owner of a Candy Store Mixed Some Peanuts Worth