SOLUTION: Birdseed costs $0.66 a pound and sunflower seeds cost $0.96 a pound. Angela Leinenbachs' pet store wishes to make a 50-pound mixture of birdseed and sunflower seeds tha
Algebra ->
Customizable Word Problem Solvers
-> Mixtures
-> SOLUTION: Birdseed costs $0.66 a pound and sunflower seeds cost $0.96 a pound. Angela Leinenbachs' pet store wishes to make a 50-pound mixture of birdseed and sunflower seeds tha
Log On
Question 1142300: Birdseed costs $0.66 a pound and sunflower seeds cost $0.96 a pound. Angela Leinenbachs' pet store wishes to make a 50-pound mixture of birdseed and sunflower seeds that sells for $0.86 per a pound. How many pounds of each type of seed should she use? Answer by greenestamps(13200) (Show Source):
Use x pounds of the sunflower seeds at 0.96 per pound and (50-x) pounds of the birdseed at 0.66 per pound to make 50 pounds of the mixture at 0.86 per pound:
Solve using basic algebra; I leave that to you.
(2) By a much easier method using logical reasoning....
The target price of 0.86 per pound is 2/3 of the way from 0.66 per pound to 0.96 per pound. (0.96-0.66 = 0.30; 0.86-0.66 = 0.20; 0.20/0.30 = 2/3).
That means 2/3 of the mixture needs to be the more expensive sunflower seed.
ANSWER: 2/3 of 50 pounds, or 33 1/3 pounds, of sunflower seeds and 16 2/3 pounds of birdseed.
