There are fewer than 40 students enrolled in a certain class. If, at a certain time, 2/9 of the students are absent from school and 1/4 of those in school have gone to the library, what is the total class enrollment?

A. 18
B. 27
C. 28
D. 32
E. 36

Question

There are fewer than 40 students enrolled in a certain class. If, at a certain time, 2/9 of the students are absent from school and 1/4 of those in school have gone to the library, what is the total class enrollment?

A. 18
B. 27
C. 28
D. 32
E. 36

calculusxy · Answer

@jim_thompson5910

calculusxy · Answer

@jdoe0001

jim_thompson5910 · Answer

"2/9 of the students are absent"

so 1 - (2/9) = (9/9) - (2/9) = 7/9 of the students are present

agreed?

calculusxy · Answer

yes

jim_thompson5910 · Answer

"1/4 of those in school have gone to the library"

(1/4) of (7/9) = (1/4)*(7/9) = 7/36

jim_thompson5910 · Answer

so 7/36 of the students went to the library

jim_thompson5910 · Answer

look through the list of choices. There is only one number that when multiplied by 7/36, the result is a whole number

calculusxy · Answer

So it's E?

jim_thompson5910 · Answer

yeah

calculusxy · Answer

Thank you! I have another three questions. Can you help me with those as well?