
Look at the given scenario and predict the outcome.
If a person will consume $ 7 $ chapatis at lunch, $ 8 $ chapatis at dinner; calculate for a leap year, the number of dozen chapatis the person has?
(a) $ 450.5 $
(b) $ 460.5 $
(c) $ 457.5 $
(d) $ 467.5 $
Answer
515.7k+ views
Hint: For simple word problems we normally get the answer after reading the question a few times and noting down the given data in an algebraic manner. The given problem is one such problem, it makes use of a unitary method which can be seen clearly. Remember that there are 366 days in a leap year, so it is one more day than a regular year.
Complete step-by-step answer:
Let us observe the question carefully and note down everything that is already given to us; (do not miss out details, it will make solving difficult)
It is said that the person will eat $ 7 $ chapatis at lunch, $ 8 $ chapatis at dinner
Find how many chapatis the person eats in a daya and how many days are there in the leap year
Keep in mind that we need to calculate the number of chapatis in the form of ‘dozen’
Now we proceed to solving;
$ 7 $ chapatis at lunch and $ 8 $ chapatis at dinner
$ \Rightarrow $ The person eats $ 15 $ chapatis in a day
Now calculate $ 15 $ in terms of a dozen
$ \Rightarrow \dfrac{{15}}{{12}} $ dozen
Now if the person has $ \dfrac{{15}}{{12}} $ dozen in just $ 1 $ day, it means that he has how many in $ 366 $ days?
$ \Rightarrow 366 \times \dfrac{{15}}{{12}} $ dozen in $ 366 $ days
$ \Rightarrow $ Total number of dozen chapatis the person has in a leap year $ 457.5 $ dozen.
Therefore the correct option from given options is;
Option (c) $ 457.5 $
So, the correct answer is “OPTION C”.
Note: While solving word problems, there is a strategic approach we can follow. First read the question continuously about two to three times and write down all the given data. This will help us understand what the question wants us to find. Also if you don’t understand what the question requires you to find, you will understand after noting down everything given, and what’s missing will be what you need to find. Make equations out of the given data, then solve them to find out the missing value. Check if the solution you have found is fitting to the question asked.
Complete step-by-step answer:
Let us observe the question carefully and note down everything that is already given to us; (do not miss out details, it will make solving difficult)
It is said that the person will eat $ 7 $ chapatis at lunch, $ 8 $ chapatis at dinner
Find how many chapatis the person eats in a daya and how many days are there in the leap year
Keep in mind that we need to calculate the number of chapatis in the form of ‘dozen’
Now we proceed to solving;
$ 7 $ chapatis at lunch and $ 8 $ chapatis at dinner
$ \Rightarrow $ The person eats $ 15 $ chapatis in a day
Now calculate $ 15 $ in terms of a dozen
$ \Rightarrow \dfrac{{15}}{{12}} $ dozen
Now if the person has $ \dfrac{{15}}{{12}} $ dozen in just $ 1 $ day, it means that he has how many in $ 366 $ days?
$ \Rightarrow 366 \times \dfrac{{15}}{{12}} $ dozen in $ 366 $ days
$ \Rightarrow $ Total number of dozen chapatis the person has in a leap year $ 457.5 $ dozen.
Therefore the correct option from given options is;
Option (c) $ 457.5 $
So, the correct answer is “OPTION C”.
Note: While solving word problems, there is a strategic approach we can follow. First read the question continuously about two to three times and write down all the given data. This will help us understand what the question wants us to find. Also if you don’t understand what the question requires you to find, you will understand after noting down everything given, and what’s missing will be what you need to find. Make equations out of the given data, then solve them to find out the missing value. Check if the solution you have found is fitting to the question asked.
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