How much will the sales and expenditures be? How many cakes will they have sold?

Question

Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.

The members of a cooking club are making cakes, which they will sell at a street fair for $25 apiece. It cost $19 for a booth at the fair, and the ingredients for each cake cost $6. 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? How many cakes will they have sold?

The club's sales and expenditures will be $ once they have sold  cakes.

Submit

Answer 1

R=25c

C=19+6c

R=C

25c=6c+19

25c-6c = 19c= 19

c=1

sell one cake for $25 and the profit on that one cake = 25-6 = $19 which covers their cost

$25 sale =6+19= $25 expenditues

sell more than one cake, such as 2 cakes and they make a $19 profit, 3 cakes $38 profit

sell c cakes, $19(c-1) profit

profit =19(c-1)