Given: The number of cups of juice is given by,
[tex]\begin{gathered} 1st\text{ orange =}\frac{13}{15} \\ 2nd\text{ orange =}\frac{1}{5} \\ 3rd\text{ orange =}\frac{9}{20} \\ 4th\text{ orange=}\frac{5}{11} \\ 5th\text{ orange=}\frac{7}{15} \end{gathered}[/tex]
Patel needs 3 cups of orange juice,
[tex]\begin{gathered} \frac{13}{15}+\frac{1}{5}+\frac{9}{20}+\frac{5}{11}+\frac{7}{15} \\ =\frac{20}{15}+\frac{1}{5}+\frac{9}{20}+\frac{5}{11} \\ =\frac{4}{3}+\frac{1}{5}+\frac{9}{20}+\frac{5}{11} \\ =\frac{880+132+297+300}{660} \\ =\frac{1609}{660} \\ =2.44\approx2.5 \end{gathered}[/tex]
Patel makes 2.44 cups of orange juice but he needs 3 cups of orange juice.
[tex]3-2.44=0.56[/tex]
It shows that Patel needs a 0.56 cup of juice that means at least 0.6 cups.
he will need at least 1/2 or 1 cup of juice.
