a team t-shirt costs $3 per adult and $2 per child. on a certain day, the total number of adults (a) and children (c) who bought shirts was 100, and the total money collected was $275. which of the following options represents the number of children and the number of adults who purchased team shirts that day, and the pair of equations that can be solved to find the numbers?

the options are:

75 children and 25 adults equation 1: a + c = 100 equation 2: 3a − 2c = 275
75 children and 25 adults equation 1: a + c = 100 equation 2: 3a + 2c = 275
25 children and 75 adults equation 1: a + c = 100 equation 2: 3a − 2c = 275
25 children and 75 adults equation 1: a + c = 100 equation 2: 3a + 2c = 275
explanaition is welcome