There are 16 boys and 14 girls in class 6 (1), and 19 girls and 14 boys in class 6 (1). How many students are there in class 6 (1)?

There are 16 boys and 14 girls in class 6 (1), and 19 girls and 14 boys in class 6 (1). How many students are there in class 6 (1)?

Suppose the number of boys is x and the number of girls is y, then: 13X + 14y = 16 ①; 14x + 13y = 19 ②; from ① + ② we can get: 13X + 14y + 14x + 13y = 16 + 19, (13X + 14x) + (14y + 13y) = 35712x + 712y = 35712 (x + y) = 35, x + y = 60; the number of boys and girls is 60, that is, the whole class is 60