Adult tickets for a play cost $6.00 and the

children's tickets cost $2.50. For one

performance, 370 tickets were sold.

Receipts for the performance were $1723.

Find the number of adult tickets sold.

How many children's tickets were sold?

Step-by-step explanation:

Let x be number of adult tickets.

number of children tickets = 370 - x

Cost of x adult tickets = x * 6 = 6x

Cost of (370-x) children tickets = (370-x) * 2.5 = 370*2.5 - x*2.5 = 925 - 2.5x

6x + 925 - 2.5x = 1723

3.5x + 925 = 1723

3.5x = 1723 - 925

3.5x = 798

x = 798/3.5 = 7980/35

x = 228

Number of adult tickets sold = 228

Number of children tickets sold = 370 - 228 = 142