Question

The following circle graph represents first-quarter absences of Washington Middle School students. If 96 students had two or more absences, how many students had one absence? [Type your answer as a number.]

Answer 1

1 absence = 45%
2 absences = 21%
no absences = 23%
added = 89%
so 3 or more absences = (100% - 89%) = 11%

96 students had 2 or more absences.....2 or more absences = (21% + 11%) = 32%
so 96 of the total students = 32%.......32% of what is 96...
0.32x = 96
x = 96/0.32
x = 300
so there are a total of 300 students..

how many students had 1 absence ?
45% of 300 had 1 absence
0.45(300) = 135 students had 1 absence <====

Answer 2

How many students had 3 or more absences? Add together {45%, 21%, 23%} and subtract that sum from 100%: 11%.

How many students had two or more absences? Add together this 11% and 21%: 32% had two or more absences. Let the total number of students be n. Then 32% of these n students add up to 96 students. Thus, 0.32n = 96, and n= 300.

How many students had one absence? The chart shows that that is 45%, and we know that there are 300 students total.

Thus, the number of students who had one absence was 0.45(300) = 135.