In a group of 120 people , 3/10 of the total number of people like tea only , 5/12 of the total number of people like coffee only and the remaining people like tea and coffee both.
(i) How many people like tea only? (ii) How many people like coffee only?
(iii) What fraction of the total number of people like tea and coffee both?
PLS ANSWER STEP - BY - STEP
Answers
Step-by-step explanation:
I) 3/10×120=36 People like tea only
ii) 5/12×120=50 People like coffee only
iii) Remaining people= 120-36-50=34
fraction of the total number of people like tea and coffee both= 34/120=17/60
Step-by-step explanation:
Given :-
In a group of 120 people , 3/10 of the total number of people like tea only , 5/12 of the total number of people like coffee only and the remaining people like tea and coffee both.
To find :-
Find the following :
(i) How many people like tea only?
(ii) How many people like coffee only?
(iii) What fraction of the total number of people like tea and coffee both?
Solution :-
Total number of people in a group = 120
Number of people who likes tea only
= 3/10 of the total people
= (3/10 )×120
=3×12
= 36
Number of people who likes coffee only
= 5/12 of the total people
= (5/12)×120
= 5×10
= 50
Remaining People = Total number of people - ( Number of people who likes tea + Number of people who likes coffee)
= 120-(36+50)
= 120-86
= 34
Remaining people = 34
Number of people who likes both tea and coffee = 34
The fraction of the total number of people like tea and coffee both
=34 people out of 120
= 34/120
= 17/60
Answer:-
I) Number of people who likes tea only = 36
II) Number of people who likes coffee only = 50
III) The fraction of the total number of people who likes tea and coffee both = 17/60