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I am choosing shapes out of a bag. The ratio of blue shapes to red shapes are 2:1. For the blue shapes, the ratio of spheres to cubes is 2:3. For the red shapes, the ratio of the spheres to cubes is 1:4. Given that there are 12 red spheres, how many blue cubes are there?

 Feb 9, 2020
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Ratio of red spheres to cubes is  1:4    which means   1 out of (1+4)   are spheres    1/5 are spheres

    if   1/5 x  = 12      then x = 60 red pieces

 

Ratio of blue to red pieces   2:1        so   2/(2+1) = 2/3 are blue pieces    and 1/3 are red pieces      1/3 x = 60    means x= 180 pieces all together

               2/3 of these 180 pieces are blue   =   120 blue pieces      for blue,  the ratio of spheres to cubes is 2:3   so  3/5 are cubes

                          3/5 * 120 = 72 blue cubes 

 
 Feb 9, 2020

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