Question

Jason's making punch by mixing 1/2 cup of orange juice and 1/5 cup of mango juice. He wants to mix the orange juice and mango juice in the same ratio to make 21 cups of punch. determine how many cups of orange juice and mango juice he will need

Answer 1

Orange juice cups = 15

Mango juice cups = 6

Explanation:

`\text{Fraction of orange cup used in one punch = }(1)/(2)\\\\\text{Fraction of mango cup used in one punch = }(1)/(5)\\\\\text{Now, to calculate the ratio : lcm of (2,5) = 10}\\\\So, Orange : Mango = (1)/(2)* 10 :(1)/(5)* 10=5:2\\\\\text{Now, required no. of orange juice cups = }\frac{\text{Orange cup ratio}}{\text{Sum of ratios}}* 21\\\\=(5)/(7)* 21=15\thinspace cups`

`\text{Now, required no. of mango juice cups = }\frac{\text{Mango cup ratio}}{\text{Sum of ratios}}* 21\\\\=(2)/(7)* 21=6\thinspace cups`

Hence, No. of Orange juice cups needed to make 21 cups = 15 and no. of Mango juice cups needed to make 21 cups = 6