Carlos baked a dozen cupcakes for the village fete.Half the cakes had pink icing and half had blue icing. Two of the cakes with blue icing and 3 cakes that had pink icing had a cherry on top. The rest of the pink cakes and 1 of the blue cakes had chocolate sprinkles on. The cakes without cherries on top were in white cases and the rest were in green cases. How many cakes were in white cases?
6 cakes had pink icing and 6 cakes had blue icing.
2 cakes with blue icing and 3 cakes that had pink icing had a cherry on top.
3 pink cakes and 1 blue cake had chocolate sprinkles on.
The cakes without cherries on top were in white cases and the rest were in green cases.
PINK:
3 with cherries and 3 with chocolate sprinkles.
BLUE:
2 with cherries, 1 with chocolate sprinkles and rest 3 are not given.
Now, the cakes which do not have cherry at the top are kept in the white case.
So, number of these cakes are
3 red with chocolate sprinkles, 1 blue with chocolate sprinkles and 3 blue with nothing.
So, total=3+1+3
=7