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=<em><u> x +25y= $3500-------1</u></em>
<u><em>x +50y= $6000----------2</em></u>
Subtracting 1 from 25y= 2500
<u><em>y= 2500/25= $100-----------3</em></u>
<em><u>Putting the value of y from 3 in 1 </u></em>
x+ 25(100)= 3500
x+ 2500= 3500
<u><em>x= 1000$---------4</em></u>
<u><em>Putting the value of y from 3 in 2</em></u>
x+ 50(100)= 6000
x+ 5000=6000
<u><em>x= 1000$----------5</em></u>
<u><em>Putting the values of x and y in 1 for 600 students</em></u>
1000+ 600(100) =1000+ 60000= $61000