SOLUTION: Hi! I really need help with this problem. At Lisa's sandwich Shop, two chicken sandwiches and four cheese sandwiches cost $18. Five chicken sandwiches and six cheese sandwiches c

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Question 1037104: Hi! I really need help with this problem.
At Lisa's sandwich Shop, two chicken sandwiches and four cheese sandwiches cost $18. Five chicken sandwiches and six cheese sandwiches cost $34. Which type of sandwich is more expensive, and by how much?
Thanks!
Found 2 solutions by ikleyn, josmiceli:
Answer by ikleyn(52814)   (Show Source): You can put this solution on YOUR website!
.
Hi! I really need help with this problem.
At Lisa's sandwich Shop, two chicken sandwiches and four cheese sandwiches cost $18.
Five chicken sandwiches and six cheese sandwiches cost $34. Which type of sandwich is more expensive, and by how much?
Thanks!
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ 

2x + 4y = 18,    (1)
5x + 6y = 34.    (2)

Multiply the first eqn by  (both sides). You will get

3x + 6y = 27,    (1')
5x + 6y = 34.    (2').

Now, distract eqn (1') from (2'). You will get

2x = 34 - 27 = 7.

From this point, please complete the solution on your own.


Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
Let = price of a chicken sandwich
Let = price of a cheese sandwich
-------------------------
(1)
(2)
-----------------------
Multiply both sides of (1) by
Multiply both sides of (2) by
Then subtract (1) from (2)
-----------------------------
(2)
(1)
-----------------------


------------------
Substitute this result into (1)
(1)
(1)
(1)
(1)
(1)
------------------
The chicken sandwich is more expensive by 75 cents

-------------------------
check:
(1)
(1)
(1)
(1)
(1)
OK
You can check (2)
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