Mr. Wallace needs to divide his class or 23 students into 9 groups. Each group can have two or three students. If a is the number or groups of 2 and b is the number of groups of 3, what system of equations could Mr. Wallace use to solve this problem ?

Answer:d)  Mr.Wallace can use the following equations:     a + b = 9    2 a + 3 b = 23Step-by-step explanation:Here, the total number of students = 23Number of groups = 9Each group can have 2 or 3 students. a is the number of  groups of 2.⇒ Total students in a groups  = a x (Number of  student in each group) = a x 2 = 2 a b is the number of groups of 3⇒ Total students in b groups  = b x (Number of  student in each group) = b x 3 = 3 bSo, according to the question:Total number of groups formed = 9⇒ a + b = 9Total number of students  = 23or Number of students in  ( a  group + b group ) = 23⇒ 2 a + 3 b = 23Hence, Mr.Wallace can use the following equations:a + b = 92 a + 3 b = 23