Answer:
[tex]he \: will \: need \to \: \boxed{\frac{3}{8} } \: of \: a \:cup \: of \: brown \: sugar \\ [/tex]
Step-by-step explanation:
[tex]if \: Colin \: uses \: \frac{3}{4} \: of \: a \: cup \: of \: brown \: sugar \: \\ for \: every \: 2 \: cups \: of \: flour. \\ then \: Colin \: will \: use \to \: ( \frac{3}{4} \div 2 \: ) \\ \: to \: make \: a \: small \: batch \: with \: only \: 1 \: cup \: of flour. \\ \frac{3}{4} \div \frac{2}{1} = \frac{3}{4} \times \frac{1}{2} = \boxed{\frac{3}{8} }[/tex]
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