Question

Some members of the cooking club are making cakes which they will sell at a street fair for $10 apiece. It costs $10 for a booth at the fair and the ingredients for each cost five dollars. At some point the club members person will sell enough cakes that the sales cover the expenditures. How many cakes would they have sold?

Answer 1

The cooking club sales covers the expenditure when 2 piece of cakes are sold.

Explanation:

Given:

Selling price of each piece of cake = $10

Cost for booth at fair = $10

Ingredients for each piece of cake = $5

We need to find the number of pieces of cake sold when the sales cover the expenditures.

Solution:

Let the number of pieces be 'x'

So We can say that the point at which the sales cover the expenditures can be calculated as Selling price of each piece of cake multiplied by number of pieces will be equal to Cost for booth at fair plus Ingredients for each piece of cake multiplied number of piece of cakes.

framing in equation form we get;

`10x =10+5x`

Now Subtracting both side by '5x' using Subtraction property we get;

`10-5x=10+5x-5x\\\\5x=10`

Now Dividing both side by 5 we get;

`(5x)/(5)=(10)/(5)\\\\x=2`

Hence The cooking club sales covers the expenditure when 2 piece of cakes are sold.