GeminiHeat wrote:
If \(\frac{2}{5} p + q = 3q - 10,\) and if \(q = 10 - p,\) then \(\frac{p}{q} =\)
(A) 5/7
(B) 3/2
(C) 5/3
(D) 25/6
(E) 6
We have: 2p/5 + q = 3q - 10 => 2p/5 = 2q - 10 => 2p = 10q - 50 =>
10q - 2p = 50Also: q = 10 - p => p + q = 10
Multiplying 5:
5p + 5q = 50 Thus: 10q - 2p = 5p + 5q (since both are equal to 50)
=> 5q = 7p
=> p/q = 5/7
Alternative: We can always solve for p and q and find the ratio
Answer A
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