Pre-RMO 2014/14

One morning, each member of Manjul's family drank an \(8\)- ounce mixture of coffee and milk. The amounts of coffee and milk varied from cup to cup, but were never zero. Manjul drank \(\frac{1}{7}\) -th of the total amount of milk and \(\frac{2}{17}\) -th of the total amount of coffee. How many members are there in Manjul's family?

This note is part of the set Pre-RMO 2014

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Math	Appears as
Remember to wrap math in `\(` ... `\)` or `\[` ... `\]` to ensure proper formatting.
`2 \times 3`	$2 \times 3$
`2^{34}`	$2^{34}$
`a_{i-1}`	$a_{i-1}$
`\frac{2}{3}`	$\frac{2}{3}$
`\sqrt{2}`	$\sqrt{2}$
`\sum_{i=1}^3`	$\sum_{i=1}^3$
`\sin \theta`	$\sin \theta$
`\boxed{123}`	$\boxed{123}$

Pre-RMO 2014/14

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