Question 1149228: Birdseed costs $0.68 a pound and sunflower seeds cost $0.98 a pound. Angela Leinenbachs' pet store wishes to make a 40-pound mixture of birdseed and sunflower seeds that sells for $0.75 per a pound. How many pounds of each type of seed should she use?
Found 3 solutions by josgarithmetic, greenestamps, ikleyn:
Answer by josgarithmetic(39617)   (Show Source):
Answer by greenestamps(13200)  (Show Source):
You can put this solution on YOUR website!
Tutor @josgarithmetic loves responding to questions involving mixture problems like this by using algebra and a whole bunch of variables to derive an ugly-looking formula for getting the answer.
The method I like to use to solve these kinds of problems is essentially the same -- but it uses logical reasoning and a bit of simple mental arithmetic to get to the answer.
Here is my preferred method of solving the problem.
(1) The difference between the per-pound prices is 98-68 = 30 cents.
(2) The difference between the lower per-pound price and the per-pound price of the mixture is 75-68 = 7 cents.
(3) Those two simple calculations tell us that the price of the mixture is 7/30 of the way from the lower price to the higher price; and that means that 7/30 of the mixture must be the higher priced sunflower seeds.
ANSWER: (7/30) of 40 pounds is 28/3 pounds, or 9 1/3 pounds. The 40-pound mixture should be made using 9 1/3 pounds of sunflower seeds and 30 2/3 pounds of birdseed.
Answer by ikleyn(52781)  (Show Source):
You can put this solution on YOUR website! .
When I see such posts from @josgarithmetic, I become really sad and angry.
The educational value of such posts is 0 (zero, ZERO).
Moreover, posting such a nonsense, he actually blocks the posts from other tutors (from me, for example),
from which the reader / (the visitor) could learn something useful.
It is why I say that real contribution of @josgarithmetic is, actually, NEGATIVE at this forum.
Dear visitors, you will continue to get such GIBBERISH from him until YOU APPLAUD him.
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