In auditorium 300 ticket were sold. The total sale of tickets was rs. 1250. If the ticket were of two denomination of rs. 2.50 and rs. 5.00. How many of each denomination were sold.
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let x tickets of rs 2.50 n y tickets of rs 5 were sold then
x+y=300-----------(1)
2.5x+5y=1250-------(2)
2.50multiply eq. first by 2.5 we get
2.5x+2.5y=750---------(-3)
now subtract 3 by 2 we get
2.5y=500
y=500/2.5
y=200 tickets
substitute this y in eq 1 we get x=100tickets
so tickets of 2.5 rs were 100 n 5 rs were 200 sold
x+y=300-----------(1)
2.5x+5y=1250-------(2)
2.50multiply eq. first by 2.5 we get
2.5x+2.5y=750---------(-3)
now subtract 3 by 2 we get
2.5y=500
y=500/2.5
y=200 tickets
substitute this y in eq 1 we get x=100tickets
so tickets of 2.5 rs were 100 n 5 rs were 200 sold
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