Question 1200089
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A grocery store offers a cheese sampler that includes a pepper cheddar cheese 
that costs $13 per kilogram and Pennsylvania Jack that costs $9 per kilogram. 
How many kilograms of each were used to make a 5-kilogram mixture that costs $10.20 per kilogram?
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x kilos per $13 and (5-x) kilos per $9.


Your money equation is

    13x + 9*(5-x) = 5*10.20  dollars.


Simplify and find x

    13x + 45 - 9x = 51.00

    13x - 9x = 51 - 45

        4x   =    6

         x   =    6/4 = 1.5 kilograms.


<U>ANSWER</U>.  1.5 kilograms per $13 and (5-1.5) = 3.5 kilograms per $9.


<U>CHECK</U>.  {{{(1.5*13 + 3.5*9)/5}}} = 10.20 dollars per kilogram.   ! correct !
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Solved.


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It is a very advanced grocery store, measuring their production in kilograms (!)