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
Algebra ->
Linear-equations
-> 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
Log On
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(52813) (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.
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)