# Solution - Algebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method

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ConceptAlgebraic Methods of Solving a Pair of Linear Equations - Cross - Multiplication Method

#### Question

Form the pair of linear equations in the following problems and find their solutions (if they exist) by any algebraic method :

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.

#### Solution

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