Class A has 11 pupils and class B has 15 pupils.Both classes sit the same maths test.The mean score for class A is 77.The mean score for both classes is 49.What is the mean score (rounded to 2 DP) in the maths test for class B?​

Answer:The mean score in the math test for class B=28.47Step-by-step explanation:Step 1: Determine the total number of students in both ClassesTotal number of students=number in class A+number in class Bwhere;number in class A=11 pupilsnumber in class B=15 pupilsreplacing;Total number of students=11+15=26 studentsStep 2: Determine total score for both classesTotal score for both classes=total score for class A+total score for class Btotal score for both classes=mean score for both classes×total number of studentstotal score for both classes=(49×26)=1,274total score for class A=mean score for class A×total number of class A studentstotal score for class A=(77×11)=847total score for class B=mean score for class B×total number of class B studentstotal score for class B=m×15=15 mreplacing;1,274=847+15 m15 m=1,274-84715 m=427m=427/15=28.47The mean score in the math test for class B=28.47