Question

a community theater sold a total of 400 full-price tickets for adults and children. The price was 8.00 per adult ticket and 5.00 per children's ticket. if the total revenue was 2,750, how many adult tickets and how many children tickets were sold?

Answer 1

Step-by-step explanation:

Let the tickets sold to adults be x

and the tickets sold to children be y

Total tickets sold are 400.

So, x + y = 400 _______ equation 1

Total revenue is ₹ 2750.

So, 8x + 5y = 2750 _________ equation 2

Multiplying equation 1 by 5

5(x + y = 400)

5x + 5y = 2000 ________equation 3

Now we solve equation 3 and 2 by elimination.

8x + 5y = 2750

5x + 5y = 2000

- - - ( changing sign)

3x + 0 = 750

x = 750/3

x = 250

Now put the value of x in equation 1

x + y = 400

250 + y = 400

y = 400 - 250

y = 150

250 adult and 150 children tickets were sold.

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