Algebra II word problem

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Scooby Scooby
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Algebra II word problem

Blues varied directly to greens and inversely as whites squared. 4 blue and 2 white went with 3 green. How many green went with 2 blues and 4 whites?
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Re: Algebra II word problem

       kg
b = ----   ← blue varies directly to greens and inversely as whites squared
       w²

      k(3)
4 = ------
        2²

         3k
4 = -------
         4

3k = 16

k = 16/3   ← constant of variation



      kg
b = ----  
       w²

      (16/3)g
2 = ---------
          4²

        (16/3)g
2 = -----------
           16

32 = (16/3)g
g = 6

6 green

- Proof