case study based question from class 10th chapter 3 linear equation two variable
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Answers
25x+2500+15x+1800=0
25x+15x=4300
40x=4300
x=107.6
Given : Hostel Charges are fixed monthly charges + variable food charges for mess on days basis
Lewis pays Hostel charges 2500 when he takes food for 25 days
Yeaicha pays Hostel charges 1800 when he takes food for 15 days
To Find : Monthly fixed charges
Solution:
Monthly fixed charges = x
Daily food charges = y
Lewis pays Hostel charges 2500 when he takes food for 25 days
=> x + 25y = 2500 Eq1
Yeaicha pays Hostel charges 1800 when he takes food for 15 days
=> x + 15y = 1800 Eq2
Eq1 - Eq2
=> 10y = 700
=> y = 70
Substitute in Eq2
=> x + 15(70) = 1800
=> x + 1050 = 1800
=> x = 750
Monthly fixed charges = Rs 750
or u can find x without finding y.
5 * Eq1 - 3 * Eq2
=> 2x = 1500
=> x = 750
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