SOLUTION: Kali and Alberto are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecake and chocolate marble cheesecake. Kali sold 10 pecan cheesecakes and six marbl

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Kali and Alberto are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecake and chocolate marble cheesecake. Kali sold 10 pecan cheesecakes and six marbl      Log On


   

Question 1109941: Kali and Alberto are selling cheesecakes for a school fundraiser. Customers can buy pecan cheesecake and chocolate marble cheesecake. Kali sold 10 pecan cheesecakes and six marble cheesecake for a total of $186. alberto sold six pecan cheesecake’s and 12 chocolate marble cheese cakes for a total of $246. Find the cost each of the one pecan cheesecake and one chocolate marble cheesecake.
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
P=pecan
C=chocolate
10P+6C=186
6P+12C=246
multiply top by -3 and bottom by 5
-30P-18C=-558
30P+60C=1230
42C=672
C=16
Therefore, 10P+96=186
10P=90
P=9
Check in second
54+192=246
Pecan is $9
Chocolate marble is $16