If there are 264 students in a school and there are 84 eighth graders and There are 22 fewer seventh graders than sixth graders. Then which grade has the most students and how many students are there.
sixth graders ---x
7th graders ---- x-22
8th graders --- 84
solve : 84 + x-22 + x = 264
etc.
Thank you
No you do not need to regroup
To find out which grade has the most students, we need to determine the number of students in each grade.
First, we know that there are 264 students in total, and we are given the number of eighth graders, which is 84.
To find the number of students in the sixth grade, we need to subtract the number of eighth graders from the total number of students: 264 - 84 = 180 students remain.
Next, we are told that there are 22 fewer seventh graders than sixth graders. We can represent the number of seventh graders as "x." Since there are 22 fewer seventh graders than sixth graders, we can express the number of sixth graders as (x + 22).
Adding up the number of students in the sixth and seventh grades should give us the total number of students remaining: (x + 22) + x = 180.
Combining like terms, we can simplify the equation to 2x + 22 = 180.
Subtracting 22 from both sides, we have 2x = 158.
Finally, dividing both sides by 2 gives us x = 79.
Therefore, there are 79 seventh graders.
Now we can compare the number of students in each grade.
Eighth grade: 84 students
Seventh grade: 79 students
Sixth grade: (79 + 22 = 101) 101 students
From this calculation, we can see that the grade with the most students is the sixth grade, with 101 students.