Movie tickets cost $6 for adults and $2 for children under the age of 12. If 175 movie tickets were sold with cash receipts of $750, how many children’s tickets were sold?

75 child tickets and 100 adult tickets were sold.

Step-by-step explanation:

Given that adult tickets cost $ 6 and children's tickets cost $ 2, knowing that 175 tickets were sold for $ 750, to determine how many child tickets were sold the following calculation must be performed:

2 x 175 = 350

750 - 350 = 400

6 - 2 = 4

400/4 = 100

175 - 100 = 75

100 x 6 = 600

75 x 2 = 150

Therefore, 75 child tickets and 100 adult tickets were sold.