Maths-
General
Easy

Question

A school district is forming a committee to discuss plans for the construction of a new high school. Of those invited to join the committee,15straight percent sign are parents of students,45straight percent sign are teachers from the current high school, 25% are school and district administrators, and the remaining 6 individuals are students. How many more teachers were invited to join the committee than school and district administrators?

hintHint:

Hint:
  • Percentage is a number or ratio expressed as a fraction of 100.

The correct answer is: there are 8 more teachers than district administrators


    Explanation:
    • We have given in a committee 15 straight percent sign are parents, 45 straight percent sign are teachers, 25 straight percent sign are school and district administrators. And remaining 6 individual are students
    • We have to find how many more teachers were invited to join the committee than school and district administrators.
    Step 1 of 1:
    Let x  represent the total number of people in the community.
    0.15 x plus 0.45 x plus 0.25 x plus 6 equals x
    0.85 x plus 6 equals x
    x minus 0.85 x equals 6
    0.15 x equals 6
    x equals fraction numerator 6 over denominator 0.15 end fraction
    x equals 40
    Of the total 40, 45 straight percent sign are teachers and 25 straight percent sign are district administrators
    Therefore, the number of teachers in the community,
    number of district administrators
    Thus, there are  more teachers than district administrators
    0.45 cross times 40 equals 18
    number of district administrators
    0.25 cross times 40 equals 10
    Thus, there are 18 - 10 more teachers than district administrators
    = 18 - 10
    = 8

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