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Answer:41 Blankets and 41 Shawls
Step-by-step explanation:
Let the number of shawl be x, and number of blanket be y.
As we know there are 82 houses contributing Rs 500 each, thus total contribution would be 82*500=41000.
As cost of shawl is Rs350, and cost of blanket is Rs650.
Thus for x shawl and y blankets, the price should be equal to contribution.
So,
350*x+650*y=41000.
35*x+65*y=4100 (Taking 10 common)
7*x+13*y=820 (Taking 5 common)
But as its written that the resident distributes 1 of each shawl and blanket to the poor, thus x=y.
So the equation becomes,
7*x+13*x=820
=> 20*x=820 (took x common)
=> x=820/20
=> x=82/2
=> x=41.
And thus y=41
So there are 41 of each blanket and shawl to distributed.
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