David has received Rs. 9409 from his friends for a picnic he was organizing . The amount of money he received from each friend is equal to the number of friend that paid him money . How many friends paid for the picnic ?
answer pls
Answers
Answer:
A number of friends decided to go on a picnic and planned to spend Rs. 96 on eatables. Four of them, however, did not turn up. As a consequence, the remaining ones had to contribute Rs. 4 each extra. The number of those who attended the picnic was?
Intuitive method
Since average increase by Rs 4, it suggests the number of friends attending must be a multiple of 4. Also, since 4 friends are not attending, it suggests the original number of picnickers should also be a multiple of 4.
Hence, both numbers should be factors of 96 with difference of 4.
Factors of 96 ( greater than 4 ) are 6, 8, 12, 16, 24, 32, 48.
Since 4 friends are absent, only combinations possible is (12,8) & (16,12)
Evaluating individually, we have :
96/12 = 8 & 96/8 = 12
12 - 8 = 4
And, bingo, we have the answer as 8 !!!!
The second pair doesn't satisfy given conditions.
96/16 = 6 &. 96/12 = 8
8 - 6 = 2
Step-by-step explanation:
it would help you