Question #b9b03

2 Answers
Sep 13, 2017

Your #3/10# should be #3/10# of the number of students who cast votes

Explanation:

Let the number of students who cast votes be represented by the variable #color(blue)s#

We are told that
#color(white)("XXX")30%" of " s <= 57#

#color(white)("XXX")3/10 xx s <= 57#

#color(white)("XXX")s <= 57 xx 10/3#

#color(white)("XXX")s <= 190#

Sep 13, 2017

#x le 190# #"votes"#

No more than #190# students cast votes.

Explanation:

We know that the candidate receives #57# votes, which are at least #30%# of the total number of votes.

This means that #57# is greater than or equal to #30%# of the total votes.

Let the total number of votes be #x#.

#Rightarrow 30% "of"# #x le 57# #"votes"#

#Rightarrow 0.3 x le 57# #"votes"#

#therefore x le 190# #"votes"#

Therefore, there were no more than #190# students who cast votes.