SOLUTION: You and several of your friends are helping your aunt move. At lunch you volunteer to go out and buy sandwiches. You get 6 chicken sandwiches and 6 beef sandwiches for $30. Later i

Algebra ->  College  -> Linear Algebra -> SOLUTION: You and several of your friends are helping your aunt move. At lunch you volunteer to go out and buy sandwiches. You get 6 chicken sandwiches and 6 beef sandwiches for $30. Later i      Log On


   

Question 100625: You and several of your friends are helping your aunt move. At lunch you volunteer to go out and buy sandwiches. You get 6 chicken sandwiches and 6 beef sandwiches for $30. Later in the afternoon, everyone is hungry again. You go to the same store and buy 4 chicken sandwiches and 8 beef sandwiches for $30.60. What was the price of the chicken sandwich?
Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
6C+6B=30 MULTIPLY THIS EQUATION BY 2
4C+8B=30.6 MULTIPLY THIS EQUATION BY -3 & THEN ADD THEM
12C+12B=60
-12C-24B=-91.8 NOW ADD
--------------------------------
-12B=-31.8
B=31.8/12
B=$2.65 FOR THE BEEF SANDWICH.
6C+6*2.65=30
6C+15.9=30
6C=30-15.9
6C=14.1
C=14.1/6
C=$2.35 FOR THE CHICKEN SANDWICH.
PROOF
4*2.35+8*2.65=30.6
9.4+21.2=30.6
30.6=30.6