Question

The members of a cooking club are making cakes, which they will sell at a street fair for $9 apiece. It cost $50 for a booth at the fair, and the ingredients for each cake cost $4. At some point, the club members will sell enough cakes so that their sales cover their expenditures. How much will the sales and expenditures be?

Answer 1

Sales= $90

Expenditures= $90

Explanation:

The members of a cooking club are making cakes.

The cakes will be sold at a street fair price of $9 for each cake.

It cost $50 for a booth at the fair.

The ingredients for each cake cost $4

Let y represent the number of cakes that was sold

Since the price of each cake is $9 then,

Sales = $9y

Since the booth cost $50 and ingredients cost $4 then,

Expenditures = $50 + $4y

Sales = Expenditures

9y= 50 + 4y

Collect the like terms

9y-4y= 50

5y= 50

Divide both sides by the coefficient of y which is 5

5y/5= 50/5

y= 10

Sales= 9×10

= $90

Expenditures= $50 + 4(10)

= $50+$40

= $90

Hence the sales is $90 and the expenditures is $90