turkey-yks 2020 Q20

turkey-yks · Other · yks-tyt Number Theory Linear Diophantine Equations
For each person attending an event, either a meat or vegetable menu will be ordered for lunch. After the order was placed, 10 different people wanted to change their menu, and due to this change, the total amount to be paid increased by 80 TL.
Given that the price of the meat menu is 20 TL more than the price of the vegetable menu, how many people wanted to change their menu from vegetable to meat?
A) 5
B) 6
C) 7
D) 8
E) 9
For each person attending an event, either a meat or vegetable menu will be ordered for lunch. After the order was placed, 10 different people wanted to change their menu, and due to this change, the total amount to be paid increased by 80 TL.

Given that the price of the meat menu is 20 TL more than the price of the vegetable menu, how many people wanted to change their menu from vegetable to meat?\\
A) 5\\
B) 6\\
C) 7\\
D) 8\\
E) 9