Let the total number of drinks be \(10u\) (hot \(7u\), cold \(3u\)).<br><br>
&bull; Hot coffee = \(\frac{4}{4+3} \times 7u = \frac{4}{7} \times 7u = 4u\).<br>
&bull; Hot tea = \(\frac{3}{7} \times 7u = 3u\).<br>
&bull; Cold coffee = \(\frac{1}{1+2} \times 3u = \frac{1}{3} \times 3u = u\).<br>
&bull; Cold tea = \(\frac{2}{3} \times 3u = 2u\).<br>
&bull; Total coffee = \(4u + u = 5u\); total tea = \(3u + 2u = 5u\).<br>
&bull; Ratio of coffee to tea = \(5u : 5u = 1 : 1\).<br><br>
Final Answer: 1 : 1