The monthly charges of a hostel consist of a fixed part and a variable part depending on the number of students. For 25 students, the total bill is ₹17,500. For 40 students, the total bill is ₹25,000. What is the total bill for 60 students?
₹35,000
Let fixed part be F and variable part per student be V. For 25 students: \(F+25V=17500\). For 40 students: \(F+40V=25000\).
Subtracting: \(15V=7500 \Rightarrow V=500\). Then \(F=17500-25\times500=5000\).
For 60 students: \(F+60V = 5000+30000 = 35000\).
Hence, the total bill for 60 students is ₹35,000.
If $2x - 3y = -1$ and $\frac{x}{x+y} = \frac{7}{12}$, then the value of $2xy$ is:
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2 x+2 - 3 y+1 = 5
then the values of x and y are:
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