SOLUTION: You and your neighbor go to Wendys for a Big Lunch. You buy 3 burgers and 2 orders of fries for $6.50. Your neighbor buys 2 burgers and 5 orders of fries for $8.00. How much does e

Algebra ->  Systems-of-equations -> SOLUTION: You and your neighbor go to Wendys for a Big Lunch. You buy 3 burgers and 2 orders of fries for $6.50. Your neighbor buys 2 burgers and 5 orders of fries for $8.00. How much does e      Log On


   



Question 67635: You and your neighbor go to Wendys for a Big Lunch. You buy 3 burgers and 2 orders of fries for $6.50. Your neighbor buys 2 burgers and 5 orders of fries for $8.00. How much does each item cost?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
You buy 3 burgers and 2 orders of fries for $6.50. Your neighbor buys 2 burgers and 5 orders of fries for $8.00. How much does each item cost?
------------
1st: 3b+2f=650
2nd: 2b+5f=800
--------------------
Multiply 1st by 2 to get:
3rd: 6b+4f=1300
Multiply 2nd by 3 to get:
4th: 6b+15f=2400
-------------
Subtract 3rd from 4th to get:
5th: 11f=1100
f=100
---------
Substitute into 1st to solve for b as follows:
3b+2(100)=650
3b=450
b=150
-----------
Fries cost $1.00
Burgers cost $1.50
--------
Cheers
Stan H.