A school charges fixed tution fee for a month and an additional charge for each day thereafter as a late fee.Sonia paid tution fee including late fee for 10 days Rs.2150 while Sofia paid tution fee including late fee for 7 days Rs 2105.Represent the situation algebraically?
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Step-by-step explanation:
let fixed tution fee for a month be X
additional charge for a day be y
Sonia paid tution fee including late fee for 10 days. X+10y
A/q
X+10y =2150. eqn(1)
Sofia paid tution fee including late fee for 7 days =X+7y
A/q
X+7y= 2105. (eqn 2)
subtract eqn 2 from 1
X+ 10y-x-7y = 2150 -2105
3y=45
y = 15
put value y in eqn 1
X+ 10 *15 =2150
X= 2150 -150
X=2000
monthly fee of tution =X=2000
late fee for per day = y = 15
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