Answer:
The number of cake for order is 15 cakes .
Step-by-step explanation:
Given as :
Total number of people to attend the dance = x = 60
The number of slices each person will eat = A = 2 slices
The number of slices per cake = y = 8 slices
Let The number of cake for order = z
<u>Now, According to question</u>
Total slices of cake required for 60 people when each people eat 2 slices = total number of people × number of slices each person will eat
i.e Total slices of cake required for 60 people when each people eat 2 slices = x × A
Or, Total slices of cake required for 60 people when each people eat 2 slices = 60 × 2 slices
Or,Total slices of cake required for 60 people when each people eat 2 slices = 120 slices
<u>Again</u>
∵ number of slices per cake = 8
∴ The number of cake for order = ![\dfrac{\textrm Total slices of cake required for 60 people when each people eat 2 slices}{\textrm number of slices per cake }](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20Total%20slices%20of%20cake%20required%20for%2060%20people%20when%20each%20people%20eat%202%20slices%7D%7B%5Ctextrm%20number%20of%20slices%20per%20cake%20%7D)
Or, z = ![\frac{x\times A}{y}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%5Ctimes%20A%7D%7By%7D)
i.e z = ![\frac{120}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B120%7D%7B8%7D)
∴ z = 15 cakes
So,The number of cake for order = z = 15 cakes
Hence,The number of cake for order is 15 cakes . Answer