Preheat the oven to 350 degrees. Add cupcake liners to the cupcake pan.
Add the cake mix to a bowl. Mix in the water, oil, egg whites, and mayonnaise on medium speed.
Put the mixed batter evenly into three bowls.
Add red food coloring to one, blue to one, and leave the other uncolored.
Alternate adding the different colors of batter into the liners until 2/3 full. Bake for 18-20 minutes.
Let the cupcakes cool.
To make the frosting, cream the butter for two minutes until fluffy. Mix in the vanilla and lemonade flavoring. (this is a strong flavor, so 1-2 drops may be enough!)
Slowly mix in the powdered sugar, one cup at a time—alternate 1 tablespoon and mix until stiff peaks form.
Diving the frosting into three bowls. Add blue coloring to one, red to one, and leave the other uncolored.
Put the piping mag into a mason jar. Use a frosting spreader, and add a stripe of red on one side and then another red strip across from it. Repeat with the blue. Then, fill the bag with white frosting.
Before adding the frosting to the top of the cupcakes, squeeze a little bit out onto a plate until you see all the colors coming out. Frost all the tops and add sprinkles!