Final answer:
Each cake is 11/40 cups of frosting short.the sign Kayla makes will state that each cake is 0.275 cups of frosting short.
Step-by-step explanation:
To find out what the sign says, we need to determine the number of cups of frosting each cake is short. Kayla is short a total of 4 1/8 cups of frosting for 15 cakes. To find the number of cups per cake, divide the total amount of frosting by the number of cakes: 4 1/8 ÷ 15 = 33/8 ÷ 15 = 33/120 = 11/40 cups per cake.
Therefore, the sign would say that each cake is 11/40 cups of frosting short.Kayla is short on frosting for her cakes, and we need to figure out how the shortage of 4 1/8 cups of frosting is distributed among 15 cakes. To do this, we must first convert the shortage to a decimal, which is 4.125 cups. Dividing 4.125 cups by 15, we get approximately 0.275 cups short per cake. Therefore, the sign Kayla makes will state that each cake is 0.275 cups of frosting short.