total expenses of a boarding house are partly fixed and partly varying linearly with the number of boarders. the average expense per boarder is rs. 700 when there are 25 boarders and rs. 600 when there are 50 boarders. what is the average expense per boarder when there are 100 boarders?
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Let x be fixed and y be the Variable expense average expense for 25 boarder =700
Total expense =700×25=17500
Average expense for 50 boarders =600
Total expense=600×50=30000
x+50y=30,000
x+25y=17,500
By solving
25y=12,500=500
x=30000−25000
x=5000
For 100 expense boarders
Total =5000+100×500=5000+50000=55000
Average =10055000=550.
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