Question

Shayna and Jacob are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecakes and chocolate marble cheesecakes. Shayna sold 1 pecan cheesecake and 4 chocolate marble cheesecakes for a total of $81. Jacob sold 4 pecan cheesecakes and 2 chocolate marble cheesecakes for a total of $58. Find the cost each of one pecan cheesecake and one chocolate marble cheesecakeYOU HAVE TO DO ELIMINATION

Answer 1

cheese cake = c

chocalate marble = m

Shayna

c + 4m = 81

Jacob

4c + 2m = 58

Solving by Elimination

c + 4m = 81

-8c - 4m = -116

-7c = -35

c = -35/-7

c = 5

Find m

5 + 4m = 81

4m = 81 - 5

4m = 76

m = 76/4

m = 19

The cost of a cheesecake = $5

The cost of a marble cheesecake = $19