A surey was conducted among 120 people. One -fourth of the people preferred tea to coffee and three -fourth of the people preferred coffee to tea. What was preferred more, tea or coffee?
Explain with solutions.
Answers
Answer:
Coffee was preferred more.
Step-by-step explanation:
Total people ---> 120 people
Now, acc. to ques, 1/4 of total people preferred tea.
Thus, (1/4)*120 = 120/4 => 30 people preferred tea over coffee.
Acc. to ques, 3/4 of total preferred tea.
Thus, (3/4)*120 = (120*3)/4 =>30*3 => 90 people preferred coffee over tea.
By this, we can say that coffee was preferred more.
ALTERNATE SOLUTION:
We know that 1/4 + 3/4 => 1 which is whole.
So, after we have found that 30 people prefer tea, we can simply subtract that from 120 to get the number of people who prefer coffee.
=> 120 - People who prefer tea = People who prefer coffee
=> 120 - 30 => 90 people
NOTE: The alternate solution can only be applied if the fractions/decimals sum up to become 1/whole.
Answer:
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