
Out of 30 students in a class, 6 like football, 12 like cricket, and the remaining like tennis. Find the ratio of:
(a) Number of students liking football to the number of students liking tennis.
(b) Number of students liking cricket to the total number of students.
Answer
490.5k+ views
Hint: We have given the number of students liking each game. A simple subtraction will give us the number of students liking each game individually. But we are asked to calculate the certain ratios so we will have to find the common factors and then we simplify the ratios as simply as possible.
Complete step by step answer:
It is given that the class contains a total students who like different games.
It can be seen that the games are tennis, cricket and football.
Let us assume that everyone likes some game and no one likes more than one game.
Otherwise it will be impossible to find any of the required ratios.
It is given that students like football.
Also, it is given that students like cricket.
This takes care of a total of students.
It is given that remaining students like tennis.
As the total number of students is , the students liking tennis are:
Thus, we established that students like tennis.
Now first we are asked to find the ratio of students liking football to the students liking tennis.
It is given that students like football and we have just established that students like tennis.
(a) Therefore, the required ratio is calculated as follows:
That is this ratio is .
(b) Secondly, we are asked to find the ratio of students who like cricket to the total number of students.
It is given that students like cricket and the total number of students is .
Therefore, the required ratio is calculated as follows:
Therefore, the answer to question (a) is and question (b) is . Hence the correct answer is option (A).
Note:
We first listed the given data correctly and used it to calculate the required data by simple subtraction. Later we performed some divisions to calculate the final ratios as required. Note that here the problem is not a Venn diagram but just a simple ratio.
Complete step by step answer:
It is given that the class contains a total
It can be seen that the games are tennis, cricket and football.
Let us assume that everyone likes some game and no one likes more than one game.
Otherwise it will be impossible to find any of the required ratios.
It is given that
Also, it is given that
This takes care of a total of
It is given that remaining students like tennis.
As the total number of students is
Thus, we established that
Now first we are asked to find the ratio of students liking football to the students liking tennis.
It is given that
(a) Therefore, the required ratio is calculated as follows:
That is this ratio is
(b) Secondly, we are asked to find the ratio of students who like cricket to the total number of students.
It is given that
Therefore, the required ratio is calculated as follows:
Therefore, the answer to question (a) is
Note:
We first listed the given data correctly and used it to calculate the required data by simple subtraction. Later we performed some divisions to calculate the final ratios as required. Note that here the problem is not a Venn diagram but just a simple ratio.
Latest Vedantu courses for you
Grade 8 | CBSE | SCHOOL | English
Vedantu 8 CBSE Pro Course - (2025-26)
School Full course for CBSE students
₹45,300 per year
Recently Updated Pages
Express the following as a fraction and simplify a class 7 maths CBSE

The length and width of a rectangle are in ratio of class 7 maths CBSE

The ratio of the income to the expenditure of a family class 7 maths CBSE

How do you write 025 million in scientific notatio class 7 maths CBSE

How do you convert 295 meters per second to kilometers class 7 maths CBSE

Write the following in Roman numerals 25819 class 7 maths CBSE

Trending doubts
Full Form of IASDMIPSIFSIRSPOLICE class 7 social science CBSE

How many millions make a billion class 6 maths CBSE

How many crores make 10 million class 7 maths CBSE

Give 10 examples for herbs , shrubs , climbers , creepers

The forces of Alexander and Porus fought on the banks class 6 social science CBSE

Four bells toll together at 900am They toll after 7811 class 6 maths CBSE
