Question

The total expenses of a hostel are partly constant and partly vary as the
number of boarders. If the expenses for 120 boarders be * 20,000 and
for 100 boarders be * 17,000, find for how many boarders will be
* 18,800?
(a) 120
(b) 112
(c) 115
(d) 218
(1 mark)​

Answer 1

ANSWER

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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