"The Celluloid Cinema sold 150 tickets to a movoe. Some of these were child tickets and the rest were adult tickets. A child ticket cost $7.75 and an adult ticket cost $10.25. If the cinema sold $1470 worth of tickets, which system f equation could be used to determine how many adult tickets, a, and how many child tickets c, were sold?" choices avaible, 1.) a+ c= 150
10.25+7.75c = 1470
2.) a+c = 1470
10.25a + 7.75c= 150
3.) a+c = 150
7.75a + 10.25c= 1470
4.) a+c= 1470
7.75a + 10.25c= 150

after the answer is chosen, why are the others answers not correct? explain

Step-by-step explanation:

Let c represent the number of child tickets that were sold.

Let a represent the number of adult tickets that were sold.

The Celluloid Cinema sold 150 tickets to a movie. This means that

a + c = 150

A child ticket cost $7.75 and an adult ticket cost $10.25. If the cinema sold $1470 worth of tickets, it means that

10.25a + 7.75c = 1470

Therefore, the system of equations that could be used to determine how many adult tickets, a, and how many child tickets c were sold is

1) a + c = 150

10.25a + 7.75c = 1470

Option 2 is incorrect because a + c is not equal to 1470

Option 3 is incorrect because rate of child and adult tickets were interchanged.

Option 4 is incorrect because a + c is not equal to 1470 and the rate of child and adult tickets were interchanged.