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Verified Answer :

\(\bf \begin{array}{ccllll} \textit{sugar cups}&cookies\\ \textendash\textendash\textendash\textendash\textendash\textendash&\textendash\textendash\textendash\textendash\textendash\textendash\\ 1 \frac{1}{4}&20\\ x&14 \end{array}\implies \cfrac{1\frac{1}{4}}{x}=\cfrac{20}{14}\implies \cfrac{\frac{5}{4}}{\frac{x}{1}}=\cfrac{20}{14} \\\\\\ \cfrac{5}{4}\cdot \cfrac{1}{x}=\cfrac{20}{14}\implies \cfrac{5}{4x}=\cfrac{20}{14}\)

solve for "x"

0.875 cups of sugar because 
1.25=20
     x=14
1.25*14/20