SOLUTION: A nursery sells Kentucky Blue Grass seed for $5.75 per pound and Tall Fescue seed for $4.50 per pound. The nursery sells a 5 pound mixture of the two kinds of seed for $5.25 per po

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Question 1091101: A nursery sells Kentucky Blue Grass seed for $5.75 per pound and Tall Fescue seed for $4.50 per pound. The nursery sells a 5 pound mixture of the two kinds of seed for $5.25 per pound. Let k represent the amount of Kentucky Blue Grass seed the nursery uses in 5 pounds of the mixture. How much of each grass is used?
I don't understand how to solve this at all. How do I figure out how much k is if I don't know how much Tall Fescue is in the mixture?
Extra note: there is a table that needs to be filled too. This is basically what it looks like.
____________________| Number of pounds | price per pound | Cost |
Kentucky Blue Grass |__________________|_______________|______|
Tall Fescue_________|__________________|_______________|______|
Mixture____________|__________________|_______________|______|

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
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Kentucky Blue Grass seed for $5.75 per pound and Tall Fescue seed for $4.50 per pound. The nursery sells a 5 pound mixture of the two kinds of seed for $5.25 per pound. Let k represent the amount of Kentucky Blue Grass seed the nursery uses in 5 pounds of the mixture. How much of each grass is used?
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                         Pounds          Price per pound       Cost
Kent. Blue Grass         5-x             5.75                  5.75%285-x%29
Tall Fescue               x              4.50                  4.5x
Mixture                   5              5.25                 5.75%285-x%29%2B4.5x

PRICE for mixture is highlight%28%285.75%285-x%29%2B4.5x%29%2F5=5.25%29;
simplify and solve for x, and then evaluate 5-x.


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Let k represent the amount of Kentucky Blue Grass seed the nursery use...
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                         Pounds          Price per pound       Cost
Kent. Blue Grass         k               5.75                  5.75k
Tall Fescue              5-k              4.50                 4.5%285-k%29
Mixture                   5              5.25                 5.75k%2B4.5%285-k%29

If done this way, then highlight%28%285.75k%2B4.5%285-k%29%29%2F5=5.25%29.