From the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :(i) A part of monthly hostel charges is fixed and the remaining depends on the number of days one has taken food in the mess. When a student A takes food for 20 days she has to pay Rs. 1000 as hostel charges whereas a student B, who takes food for 26 days, pays Rs.1180 as hostel charges. Find the fixed charges and the cost of food per day.

Explanation

To solve the problem, we need to set up a pair of linear equations based on the information provided and then solve them algebraically.

### Step-by-Step Solution:

1. **Define Variables:**
Let:
- \( x \) = Fixed charges of the hostel (in Rs)
- \( y \) = Cost of food per day (in Rs)
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