Answer:
Orange juice cups = 15
Mango juice cups = 6
Step-by-step explanation:
[tex]\text{Fraction of orange cup used in one punch = }\frac{1}{2}\\\\\text{Fraction of mango cup used in one punch = }\frac{1}{5}\\\\\text{Now, to calculate the ratio : lcm of (2,5) = 10}\\\\So, Orange : Mango = \frac{1}{2}\times 10 :\frac{1}{5}\times 10=5:2\\\\\text{Now, required no. of orange juice cups = }\frac{\text{Orange cup ratio}}{\text{Sum of ratios}}\times 21\\\\=\frac{5}{7}\times 21=15\thinspace cups[/tex]
[tex]\text{Now, required no. of mango juice cups = }\frac{\text{Mango cup ratio}}{\text{Sum of ratios}}\times 21\\\\=\frac{2}{7}\times 21=6\thinspace cups[/tex]
Hence, No. of Orange juice cups needed to make 21 cups = 15 and no. of Mango juice cups needed to make 21 cups = 6
