Q:

Last time, one out of every 4 students in our class was absent. This time, after Jen came back, only one out of every 5 students is absent. How many students are there in our class? How many students are not here today?

Accepted Solution

A:
Answer: There are 20 students and 4 students are not here today.Step-by-step explanation:If the number of students = 4Let the number of students be 'x'.Fraction of students absent = [tex]\dfrac{x}{4}[/tex]If the number of students = 5Fraction of students absent = [tex]\dfrac{x}{5}[/tex]And Jen came back,So, the fraction of student absent is also written as [tex]\dfrac{x}{4}-1[/tex]According to question, it becomes,[tex]\dfrac{x}{5}=\dfrac{x}{4}-1\\\\\dfrac{x}{5}=\dfrac{x-4}{4}\\\\4x=5(x-4)\\\\4x=5x-20\\\\4x-5x=-20\\\\-x=-20\\\\x=20[/tex]Hence, there are 20 students in our school.And number of students are not here today is [tex]\dfrac{20}{5}=4[/tex]