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contestada

the cost per week of running a boarding school is partly constant and partly varies with the number of students in the hostel. if it cost $3500.00 a week for 25 students, and $6000.00 for 50 students. find the cost of running the boarding house for 600 students.
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Respuesta :

akiran007

Answer:

the cost for the running the boarding school for 600 students is $61000

Explanation:

Let x be the constant  cost  and y be the variable cost . then according to the given condition

total cost= x +25y= $3500-------1

x +50y= $6000----------2

Subtracting 1 from 25y= 2500

y= 2500/25= $100-----------3

Putting the value of y from 3 in 1

x+ 25(100)= 3500

x+ 2500= 3500

x= 1000$---------4

Putting the value of y from 3 in 2

x+ 50(100)= 6000

x+ 5000=6000

x= 1000$----------5

Putting the values of x and y in 1  for 600 students

1000+ 600(100) =1000+ 60000= $61000

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