Question

You’ve been asked to order cake for your school dance. Here’s a formula for the scenario: z=xa/y

X= number of people at the dance

Y= number of slices per cake

Z= number of cakes

A= number of slices each person will eat
60 people plan to attend the dance and each person will eat 2 slices of cake. If each cake contains 8 slices, how many cakes should you order?

Answer 1

The number of cake for order is 15 cakes .

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

Now, According to question

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

Again

∵ number of slices per cake = 8

∴ The number of cake for order =
`(\textrm Total slices of cake required for 60 people when each people eat 2 slices)/(\textrm number of slices per cake )`

Or, z =
`(x* A)/(y)`

i.e z =
`(120)/(8)`

∴ z = 15 cakes

So,The number of cake for order = z = 15 cakes

Hence,The number of cake for order is 15 cakes . Answer