A woman wants to organize her birthday party. She was happy on her birthday but
there was a problem that she does not want to serve fast food to her guests because she is very
health conscious. She has 15 apples and 40 bananas at home and decided to serve them. She
want to distribute fruits among guests. She does not want to discriminate among guests so she
decided to distribute equally among all. So,
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1) How many guests she can invite?
(a) 6
(b) 5
(c) 3
(d) 4
2) How many apples and bananas will each guest get ?3 )1f a guest claims that he got the highest no of fruits amongst all, is this situation possible? If
yes, what will be the number of fruits that person got?
4)1f the number of guests double then Is it possible to distribute the fruits equally?
Answers
- 1 5 people come in birthday party
- 2 she gave 3 apples to all guest and bananas
- 4 yes its possible
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Given:
A woman organizes a party where she distributes 15 apples and 40 bananas among the guests equally.
To Find:
1. The Total number of guests.
2. How many apples and bananas can each guest get.
3. Is it possible for one of the guests to get more fruits than the other guests.
4. If the number of guests is doubled is it possible to distribute equally.
Solution:
1. It is given that the women have 15 apples and 40 bananas. The fruits are to be distributed equally among the guests.
2. The GCD of 15 and 40 are the number of guests invited for the function as GCD is the greatest common divisor for both the numbers and hence the distribution can be done equally.
= > GCD of 15 and 40 is 5.
= > Total number of guests = 5 (Question 1 – Option A).
3. Each guest gets 15/5 apples and 40/5 bananas,
= > Each guest gets 3 apples and 8 bananas.
4. There is no possibility for a guest to get a higher number of fruits than the other since the fruits are distributed equally, Hence question 3 is incorrect.
5. If the number of guests is doubled i.e, the total number of guests is now 10, 5 apples cannot be distributed among 10 people but 40 bananas can be distributed among 10 people. Hence, it is not possible to distribute all the fruits equally among 10 people.
Therefore, a total of 5 guests can be invited to the party for a uniform distribution of the mentioned fruits.