SOLUTION: A nursery sells KB seed for $5.75/lbs and TF seed for $4.50/lbs. The nursery sells a mixture of the two kinds of seed for $5.25/lbs. Let K represent the amount of KB seed the nurse

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A nursery sells KB seed for $5.75/lbs and TF seed for $4.50/lbs. The nursery sells a mixture of the two kinds of seed for $5.25/lbs. Let K represent the amount of KB seed the nurse      Log On

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Question 1127025: A nursery sells KB seed for $5.75/lbs and TF seed for $4.50/lbs. The nursery sells a mixture of the two kinds of seed for $5.25/lbs. Let K represent the amount of KB seed the nursery uses in 5 pounds of the mixture.
Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Question should be, how many pounds of each seeds to use for the mixture.

K, amount of KB @ $5.75
5-K, amount of the other

5.75K%2B4.5%285-K%29=5.25%2A5
Solve.
--
5.75K%2B22.5-4.5K=26.25
1.25K=26.25-22.5
1.25K=3.75
highlight%28K=3%29

3 pounds of KB seed
and
2 pounds of TF seed

Answer by ikleyn(52781) About Me  (Show Source):
You can put this solution on YOUR website!
.

        When you post to the forum without placing your question, you work against yourself.



Such posts are the subject of ignoring according to the rules of this forum.


What @josgarithmetic does in such cases,  is simply violation of the rules of this forum.


So, nobody is responsible for correctness of his (of such) answers,

and you should know that @josgarithmetic produces wrong solutions and wrong answers in half of cases.


I sincerely advise you to correct your behavior in this forum and do not submit posts without questions.



Answer by greenestamps(13200) About Me  (Show Source):
You can put this solution on YOUR website!


Oh, brother!!!!

It is NOT "against the rules of this forum" to respond to a message if it is clear what the question is.

The other tutor's response is appropriate, and correct.

Here is a way that will get you to the answer to a question like this much faster and with much less work than the standard algebraic method used by the other tutor.

(1) The $5.25 cost per pound is 3/5 of the way from the $4.50 per pound cost of the TF seed to the $5.75 per pound cost of the KB seed.

(Do some simple arithmetic: 5.25 - 4.50 = .75; 5.75-4.50 = 1.25; .75/1.25 = 3/5)

(2) That means 3/5 of the mixture needs to be the higher priced KB seed.

Therefore, to make 5 pounds of the mixture, you need 3 pounds of the KB seed and 2 pounds of the TF seed.