Question

Mark transferred 2 6/7 songs from his computer onto his portable music player. He transferred songs in 1 2/3 minutes. How many songs did he transfer per minute?

Answer 1

$We\: know\\(number\: of \:songs\: transferred) \propto ( time \:taken )$

$\begin {tabular} { |c|c|c| }</p><p>\cline {1-3} Minutes (x) & \frac{5}{3} & 1 \\</p><p>\cline{1-3} Songs (y) & \frac{20}{7} & y_{2} \\</p><p>\cline {1-3} </p><p>\end {tabular}$

$So, \frac{x_{1}}{y_{1}} = \frac{x_{2}}{y_{2}},\\</p><p>x_{1} = \frac{5}{3} , \: x_{2} = 1 ;\\</p><p></p><p>y_{1} = \frac{20}{7} , \: y_{2} = ?$

$By \: substituting , \frac{\frac{5}{3}}{\frac{20}{7}} = \frac{1}{y_{2}}$

$\implies y_{2} = \frac{20}{7} \times \frac{3}{5} \\= \frac{12}{7} \\= 1 \frac{5}{7} \: songs$

Therefore.,

$\red { Number \:songs \: transferred \:in \:a }\\\red{ minute } \green { = 1 \frac{5}{7}}$

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