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Answers
Question :-
On his 21st birthday, a boy decided to distribute blankets to the poor instead of giving party to his friends. He bought 8500 blankets to distribute them to old age home, orphanage and road side beggars. The number of blankets distributed to old age home was twice of the blankets distributed to orphanage. Also, 100 more than thrice the number of blankets distributed to orphanage were given to road side beggars.
1. Form an equation to the given condition.
2. Number of blankets distributed to orphanage.
3. Number of blankets distributed to old age home.
4. Number of blankets distributed to road side beggars.
Let assume that number of blankets distributed to orphanage be x.
As it is given that, the number of blankets distributed to old age home was twice of the blankets distributed to orphanage.
So, Number of blankets distributed to old age home = 2x
Further given that, Number of blankets distributed to road side beggars is 100 more than thrice the number of blankets distributed to orphanage.
So, Number of blankets distributed to road side beggars = 3x + 100.
So, we have
Number of blankets distributed to orphanage be x.
Number of blankets distributed to old age home = 2x
Number of blankets distributed to road side beggars = 3x + 100.
Total blanket distributed = 8500
Thus,
Hence,
Number of blankets distributed to orphanage = 1400.
Number of blankets distributed to old age home = 2800
Number of blankets distributed to road side beggars = 3 × 1400 + 100 = 4300