Proud As a Pea…cake?

We just love this flashy cake and cupcake combo, made by Malizzi Cakes for a big wedding party. The bakers told us the main cake can serve 75 people. That’s not counting the 125 cupcakes, each with 4 pieces of frosting to make the feather “eye.” All that baking and decorating took about 8 hours. But it was worth it, and we bet the cake was eaten in way less time!
Lace up: If the cake uses white, blue, green, and yellow frosting, how many colors of frosting is that?
Jog: If you eat the 6th tailfeather cupcake, then the 8th one, which number cupcake did you skip?
Sprint: If you eat 5 cupcakes, and each is either chocolate or vanilla, can you eat an equal number of the 2 flavors?
Hurdle: If there are 4 pieces of frosting on each cupcake, how many cupcakes would give you 64 pieces of frosting?
High Jump: Out of the 125 cupcakes, there is 1 more vanilla than chocolate. How many chocolate cupcakes are there?
Pole Vault: The area of a circle equals pi times the circle’s radius squared (times itself). If the top 2 layers of the cake have radii of 3 and 4 inches, and the bottom layer has a radius of 5 inches, and all have equal heights, is there more cake in the top 2 layers or the bottom single layer?
Answers:
Lace up: 4 colors of frosting.
Jog: The 7th cupcake.
Sprint: No, because 5 is an odd number. You could have 4 of one flavor and 1 of the other, or 3 and 2.
Hurdle: 16 cupcakes.
High Jump: 62 chocolate. Think of it this way: if you took away the extra vanilla, you’d have 124 cupcakes with the same number of chocolate anyway, and they’d be exactly half of that total.
Pole Vault: There is an equal amount of cake in the top two layers as in the bottom single layer! The top two layers = 3 x 3 π + 4 x 4 π = 9π + 16π = 25π. The single bottom layer = 5 x 5 π or 25π.

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