Amatinee 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 adults
equation 1: a + c = 35
equation 2: 6a − c = 70

b: 7 children and 28 adults
equation 1: a + c = 35
equation 2: 6a + c = 70

c: 28 children and 7 adults
equation 1: a + c = 35
equation 2: 6a + c = 70

d: 28 children and 7 adults
equation 1: a + c = 35
equation 2: 6a − c = 70

in advance!