Question 1091101
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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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<pre>
                         Pounds          Price per pound       Cost
Kent. Blue Grass         5-x             5.75                  {{{5.75(5-x)}}}
Tall Fescue               x              4.50                  {{{4.5x}}}
Mixture                   5              5.25                 {{{5.75(5-x)+4.5x}}}
</pre>

PRICE for mixture is  {{{highlight((5.75(5-x)+4.5x)/5=5.25)}}};
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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<pre>
                         Pounds          Price per pound       Cost
Kent. Blue Grass         k               5.75                  {{{5.75k}}}
Tall Fescue              5-k              4.50                 {{{4.5(5-k)}}}
Mixture                   5              5.25                 {{{5.75k+4.5(5-k)}}}
</pre>
If done this way, then {{{highlight((5.75k+4.5(5-k))/5=5.25)}}}.