A matinee ticket costs $6 per adult and $1 per child. On a certain day, the total number of adults (a) and children (c) who saw a movie was 35, and the total money collected was $70. Which of the following options represents the number of children and the number of adults who saw a movie that day, and the pair of equations that can be solved to find the numbers?

A: 7 children and 28 adultsEquation 1: a + c = 35Equation 2: 6a − c = 70

B: 7 children and 28 adultsEquation 1: a + c = 35Equation 2: 6a + c = 70

C: 28 children and 7 adultsEquation 1: a + c = 35Equation 2: 6a + c = 70

D: 28 children and 7 adultsEquation 1: a + c = 35Equation 2: 6a − c = 70