The distribution above shows the number of days a group of 260 students were absents from school in a particular term. How many students were absent for at least four days in the term
A.
210
B.
40
C.
120
D.
160
Correct Answer: 160
Explanation
20 + X + 50 + 40 + 2X + 60 = 260
3X + 170 = 260
3X = 260 - 170
3x = 90
x = 30
Absent for at least 4 days
4, 5, 6
40, 2x, 60,
i.e 40 + 2x + 60 = 40 + (2 x 30) + 60
= 40 + 60 + 60
= 160
20 + X + 50 + 40 + 2X + 60 = 260
3X + 170 = 260
3X = 260 - 170
3x = 90
x = 30
Absent for at least 4 days
4, 5, 6
40, 2x, 60,
i.e 40 + 2x + 60 = 40 + (2 x 30) + 60
= 40 + 60 + 60
= 160