Question

Tickets for the annual school play were sold at P100.00 each for students and P200.00 each for adults. If P60, 000.00 was received from the sale of 450 tickets, how many tickets of each kind were sold?

Answer 1

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Answer 2

Given:

Cost of ticket for students= 100

Cost of tickets for adults = 200

Total number of tickets = 450

Total amount received= 60,000

To find:

How many tickets of each kind were sold.

Solution:

Let the number of tickets sold to students be x.

Then the number of tickets sold to adults will be 450-x.

And the total amount received is 60,000.

Therefore:

$100x + (450 - x)200 = 60000$

$100x + 90000 - 200x = 60000$

$100x = 30000$

$x = 300$

The number of tickets sold to students was 300.

While the number of tickets sold to adults = 450- 300 = 150.

The tickets sold to students= 300

And tickets sold to adults= 150.