If p : q = 4 : 1, find (5p + 3q) : (5p − 3q).
23 : 17
Since \(p : q = 4 : 1\), take \(p = 4\) and \(q = 1\) (any pair in this ratio works).
\(5p + 3q = 5(4) + 3(1) = 20 + 3 = 23\)
\(5p - 3q = 5(4) - 3(1) = 20 - 3 = 17\)
Hence \((5p + 3q) : (5p - 3q) = 23 : 17\).
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