
A certain school has \[300\] students, \[142\] of whom are boys. It has \[30\] teachers, \[12\] of whom are men. What percent of the total number of students and teachers in the school is female?
Answer
410.7k+ views
Hint: To determine the number of girls in all students and a number of females in all teachers and sum them up. Then determine its percentage contribution from all students and teachers.
Given:
Total number of students\[ = 300\]
Total number of boys\[ = 142\]
Total number of teachers\[ = 30\]
Total number of men\[ = 12\]
To find: percentage of the total number of students and teachers in the school is female
Complete step-by-step solution:
Step 1: Determine total number of girls from the students
According to the question,
Total number of students\[ = 300\]
Total number of boys\[ = 142\]
Now, subtracting number of boys from total students gives total number of girls’ i.e.
Total number of girls = (total students)\[ - \](total boys)
Total number of girls \[ = 300 - 142\]\[ = 158\]
Hence, \[158\] girls are there in total students
Step 2: Determining total number of females from the teachers
According to the question,
Total number of teachers\[ = 30\]
Total number of men\[ = 12\]
Now, subtracting number of men from total number of teachers gives total number of females’ i.e.
Total number of females = (total number of teachers)\[ - \](total number of men)
Total number of females \[ = 30 - 12 = 18\]
Hence, there are total 18 females from all teachers
Step 3: determining percentage of the total number of students and teachers in the school is female
Total number of females from students and teachers = Total number of girls + Total number of female teachers
Total number of females from students and \[ = 158 + 18 = 176\]
Now as we know that,
Total number of students and teachers\[ = 300 + 30 = 330\]
Percentage of all females \[ = \dfrac{{176}}{{330}} \times 100\]
Percentage of all females \[ = \dfrac{160}{3}\% = 53.33\% \]
Hence, percentage of the total number of females from all students and teachers is equal to \[53.33\% \]
Note: Since girls are considered female, therefore the total number of females from students and teachers is given by adding the total number of girls from students and all female teachers. Percentage means a number or ratio expressed as a fraction of 100. percentage is unitless and dimensionless.
Given:
Total number of students\[ = 300\]
Total number of boys\[ = 142\]
Total number of teachers\[ = 30\]
Total number of men\[ = 12\]
To find: percentage of the total number of students and teachers in the school is female
Complete step-by-step solution:
Step 1: Determine total number of girls from the students
According to the question,
Total number of students\[ = 300\]
Total number of boys\[ = 142\]
Now, subtracting number of boys from total students gives total number of girls’ i.e.
Total number of girls = (total students)\[ - \](total boys)
Total number of girls \[ = 300 - 142\]\[ = 158\]
Hence, \[158\] girls are there in total students
Step 2: Determining total number of females from the teachers
According to the question,
Total number of teachers\[ = 30\]
Total number of men\[ = 12\]
Now, subtracting number of men from total number of teachers gives total number of females’ i.e.
Total number of females = (total number of teachers)\[ - \](total number of men)
Total number of females \[ = 30 - 12 = 18\]
Hence, there are total 18 females from all teachers
Step 3: determining percentage of the total number of students and teachers in the school is female
Total number of females from students and teachers = Total number of girls + Total number of female teachers
Total number of females from students and \[ = 158 + 18 = 176\]
Now as we know that,
Total number of students and teachers\[ = 300 + 30 = 330\]
Percentage of all females \[ = \dfrac{{176}}{{330}} \times 100\]
Percentage of all females \[ = \dfrac{160}{3}\% = 53.33\% \]
Hence, percentage of the total number of females from all students and teachers is equal to \[53.33\% \]
Note: Since girls are considered female, therefore the total number of females from students and teachers is given by adding the total number of girls from students and all female teachers. Percentage means a number or ratio expressed as a fraction of 100. percentage is unitless and dimensionless.
Recently Updated Pages
Glucose when reduced with HI and red Phosphorus gives class 11 chemistry CBSE

The highest possible oxidation states of Uranium and class 11 chemistry CBSE

Find the value of x if the mode of the following data class 11 maths CBSE

Which of the following can be used in the Friedel Crafts class 11 chemistry CBSE

A sphere of mass 40 kg is attracted by a second sphere class 11 physics CBSE

Statement I Reactivity of aluminium decreases when class 11 chemistry CBSE

Trending doubts
Fill the blanks with the suitable prepositions 1 The class 9 english CBSE

How do you graph the function fx 4x class 9 maths CBSE

Name the states which share their boundary with Indias class 9 social science CBSE

Difference Between Plant Cell and Animal Cell

What is pollution? How many types of pollution? Define it

What is the color of ferrous sulphate crystals? How does this color change after heating? Name the products formed on strongly heating ferrous sulphate crystals. What type of chemical reaction occurs in this type of change.
