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[tex]\pink{\bigstar}[/tex] Amount of apple juice Will added [tex]\large\leadsto\boxed{\tt\purple{1 \frac{5}{12}}}[/tex]
➪ Amount of grape juice Will added = 1/4
➪ Amount of juice in total after adding the apple juice = 1⅔
Therefore, it is clear that the amount of apple juice Will added to the cup will be the difference in total amount of juice and amount of grape juice.
Hence,
➪ [tex]\sf 1 \frac{2}{3} - \dfrac{1}{4}[/tex]
➪ [tex]\sf \dfrac{5}{3} - \dfrac{1}{4}[/tex]
• Taking an L.CM:-
➪ [tex]\sf \dfrac{20 - 3}{12}[/tex]
➪ [tex]\sf \dfrac{17}{12}[/tex]
➪ [tex]\large{\bold\red{1 \frac{5}{12}}}[/tex]
Therefore, the amount of apple juice added is [tex]\large{\bold 1 \frac{5}{12}}[/tex]