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If (x + y)/(2x + y) = 4/5, then find (2x + y)/(3x + y).
- A4/5
- B5/6
- C6/7
- D3/4
Correct answer: B
Discussion 1
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CCommunity
5/6
(x + y)/(2x + y) = 4/5
=> 5(x + y) = 4(2x + y) => 5x + 5y = 8x + 4y => y = 3x
Now, (2x + y)/(3x + y) = (2x + 3x)/(3x + 3x) = 5x/6x = 5/6.
(x + y)/(2x + y) = 4/5
=> 5(x + y) = 4(2x + y) => 5x + 5y = 8x + 4y => y = 3x
Now, (2x + y)/(3x + y) = (2x + 3x)/(3x + 3x) = 5x/6x = 5/6.