# Seventy tickets of a theater show were sold for Rs.8000. If the tickets were sold in denominations of Rs.125 and Rs.75, how many tickets of each denomination were sold?

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by Shaan12

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by Shaan12

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The Brainliest Answer!

So, no. of 75-rupees ticket be 70-X

ATQ,

125X+75(70-X)=8000

125X+5250-75X=8000

50X=2750

X=55

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Total number of tickets = 70

Let N be the number of tickets sold in denominations of Rs 125.

So 70 - N will be the number of tickets sold in denominations of Rs 75.

Total proceedings from the tickets sale = Rs N * 125 + (70 - N) * 75

= Rs (50 * N + 5, 250)

= Rs 8, 000

50 N + 5, 250 = 8, 000

N = 2750/50 = 55

SO there were 55 tickets old in denominations of Rs 125 and 15 tickets of denominations of Rs 75.

Let N be the number of tickets sold in denominations of Rs 125.

So 70 - N will be the number of tickets sold in denominations of Rs 75.

Total proceedings from the tickets sale = Rs N * 125 + (70 - N) * 75

= Rs (50 * N + 5, 250)

= Rs 8, 000

50 N + 5, 250 = 8, 000

N = 2750/50 = 55

SO there were 55 tickets old in denominations of Rs 125 and 15 tickets of denominations of Rs 75.