11. Out of 1800 students in a school, 750 opted basketball, 800 opted cricket and remaining
opted table tennis. If a student can opt only one game, find the ratio of
(a) Number of students who opted basketball to the number of students who opted
table tennis.
(b) Number of students who opted cricket to the number of students opting basketball.
(c) Number of students who opted basketball to the total number of students.
Answers
Answer:
Step-by-step explanation:
Given :
Total number of students = 1800
Students opted basketball = 750
Students opted cricket = 800
Students opted table tennis -
= 1800 - (750 + 800)
= 1800 - 1550
= 250
Students opted tennis = 250
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Finding Ratios -
1)
Students who opted basketball : Students opted table tennis
750 : 250
Simplifying by 250
250 x 3 = 750
250 x 1 = 250
3 : 1.
The Ratio is 3 : 1
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2)
Students opted cricket : Students opted basketball
800 : 750
Simplifying by 5
5 x 160 = 800
5 x 150 = 750
160 : 150
16 : 15
The Ratio is 16 : 15
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3)
Students opted basketball : Total students
750 : 1800
75 : 180
simplifying by 15
15 x 5 = 75
15 x 12 = 180
5 : 12
The Ratio is 5 : 12.
Answer:
Total number of students =1800
Number of students who opted basketball=750
Number of students who opted cricket =800
Number of students who opted table tennis =1800−750−800=250
(a) Ratio of number of students who opted basketball to the number of students who opted table tennis
=750/250 =3:1 =3:1
(b) Ratio of number of students who opted cricket to the number of students opting basketball
=800/ 750 =16:15 =16:15
(c) Ratio of number of students who opted basketball to the total number of students
=750/1800 = 15:36 =15:12