2 answers

#12%# of the student population in a school are left-handed. In a classroom of #25# students, how many are left-handed

Question:

#12%# of the student population in a school are left-handed. In a classroom of #25# students, how many are left-handed and how many are right-handed?

Answers

#12%# or #3/25# of the students are left-handed.

#88%# or #22/25# of the students are right-handed.

Explanation:

#12%=12/100#

Both #12# and #100# are divisible by #4#. Simplify #12/100# by dividing the numerator and denominator by #4#.

#(12-:4)/(100-:4)=#

#3/25#

#3/25# of the students are left-handed.

The percentage of all students is #100%#. The percentage of right-handed students is:

#100%-12%=88%#

#88%=88/100#

Simplify #88/100# by dividing the numerator and denominator by #4#.

#(88-:4)/(100-:4)=#

#22/25#

#88%# or #22/25# students are right-handed. Therefore, the majority of students are right-handed.

.

#=3/25#

Explanation:

  1. The left-handed students is given at 12%. This can be interpreted in fractional form as;
    #12/100#
  2. Find the factors of these numbers to reduce the fraction to its lowest form.
    #12/100=(cancel((4))(3))/(cancel((4))(25))#
    This mean that 3 out of 25 students are left-handed.
  3. Therefore, 22 of these students are right-handed.
.

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