Mr. Rodriguez purchased 46 pencils to give to the students he tutors. He has 6 students that he tutors. How many pencils will each student get if Mr. Rodriguez gives each one the same number of pencils?
A. Each student will get 7 pencils. There will be 4 pencils left over.
B. Each student will get 7 pencils. There will be 5 pencils left over.
C. Each student will get 8 pencils. There will be 0 pencils left over.
D. Each student will get 6 pencils. There will be 4 pencils left over.
To find out how many pencils each student will get, we divide the total number of pencils by the number of students: 46 pencils / 6 students = <<46/6=7.666666666666667>>7.666666666666667 pencils.
Since we cannot have a fraction of a pencil, we round down to the nearest whole number: 7 pencils.
Therefore, each student will get 7 pencils.
To determine the number of pencils left over, we subtract the total number of pencils used (7 pencils per student x 6 students) from the total number of pencils purchased:
46 pencils - (7 pencils/student x 6 students) = 46 pencils - 42 pencils = 4 pencils.
Therefore, option D is correct.