Question

4. FROM THE PAIR OF LINEAR EQUATION IN THE FOLLOWING PROBLEM AND FIND THEIR SOLUTION BYE ANY ALGEBRAIC METHOD :

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Answer 1

Answer:

In this particular type of question we need to form two equations taking x as the fixed charge and y as the additional charge per day .Finally we need to solve for x and y to get the desired results.

COMPLETE STEP-BY-STEP ANSWER:-

☆Let the fixed charge be Rs .x and the variable charge be Rs .y per day.

it is given that student A takes food for 20 day and pays RS.1000 as hostel charge,

therefore,

x+20y=1000

=》x=1000-20y(1)

it is also given that when a student B takes food for 12 days and she has to pay Rs.180 as hostel charges, therefore, we have,

x+26y=1180

=》1000-20y+26y=1180

=》-20y+26y=1180-1000

=》6y=180

=》y=30

now ,substitute the value of y in equation 1 ,

=》x=

1000-(20×30)=1000-600=400

Therefore, x=400and y=30.

hence, the fixed charge is Rs.400 and the variable charge is Rs.30 per day.

Step-by-step explanation:

hope you understand this problem

Answer 2

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