Question

For a show, two types of ticket were sold, one costing *250 and other costing 100. Total
number of tickets sold were 65 and total collection was 4,500. Find the number of tickets
sold of each type.​

Answer 1

The number of Rs. 50 tickets is 40 and number of Rs. 100 tickets is 25

Step-by-step explanation:

Note : Here in the question, it should be Rs. 50 and not Rs. 250

Let the ticket costing Rs. 50 be x and that costing Rs. 100 be y

Then, according to the question

$x+y=65$    ............ (1)

Also,

$50x+100y=4500$

or, $x+2y=90$   .......... (2)

Subtracting eq (1) from eq (2)

$y=90-65$

$\implies y=25$

Therefore,

$x=65-25=40$

Therefore,

The number of Rs. 50 tickets = 40

Number of Rs. 100 tickets = 25

Hope this answer is helpful.

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