The total expense of a boarding house are partly fixed and
partly variable with the number of boarders. The charge is
Rs.70 per head when there are 25 boarders and Rs.60 when
there are 50 boarders. Find the charge per head when there
are 100 boarders?
let x be fixed charge and y be the variable charge
x+25y = 25*70 = 1750 ———- 1.
x+50y = 50*60 = 3000 ————2.
solving (1) & (2).
x=500 and y = 50
let a be charge per head for 100 boarders
500 + 50 * 100 = 100 * a
solving we get a = 55 .
let x be fixed charge and y be the variable charge
x+25y = 25*70 = 1750 ———- 1.
x+50y = 50*60 = 3000 ————2.
solving (1) & (2).
x=500 and y = 50
let a be charge per head for 100 boarders
500 + 50 * 100 = 100 * a
solving we get a = 55 .
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