Re: A charitable organization collected a total of $(x + 3y), where x and
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25 May 2023, 11:16
OE
It is given that a charitable organization collected a total of $ (x + 3y) where x and y
are positive integer and x > y, amount out of which 3x - 2y was collected from office
A and the remaining from office B.
We have to compare
Quantity A: Amount collected from office A and
Quantity B: Amount collected from office B
Amount collected from office A = 3๐ฅ โ 2๐ฆ
Then, amount collected from office B = ๐ฅ + 3๐ฆ โ (3๐ฅ โ 2๐ฆ) = โ2๐ฅ + 5y
QA
3๐ฅ โ 2๐ฆ
Taking the terms of x on one side and y on another.
3๐ฅ + 2๐ฅ=5x
Divide both sides by 5
QB
โ 2๐ฅ + 5๐ฆ
5y+2y=7y
So
x vs 7y/5=1.4y
We know, ๐ฅ > ๐ฆ but we canโt establish relation between ๐ฅ and 1.4๐ฆ. So, we canโt compare the quantities.
Ans. (D)