what quantity of lime juice would you need to make 4 times as much as the original recipe?\ncitrus mango…

what quantity of lime juice would you need to make 4 times as much as the original recipe?\ncitrus mango punch\ningredients:\n6 3/4 cups grapefruit juice\n4 1/8 cups orange juice\n8 cups mango puree\n3 1/2 cups club soda\n1 1/2 cups lemon - lime soda\n5/8 cup lemon juice\n2/3 cup lime juice\nwrite your answer as a fraction or as a whole or mixed number.\n______ cups

what quantity of lime juice would you need to make 4 times as much as the original recipe?\ncitrus mango punch\ningredients:\n6 3/4 cups grapefruit juice\n4 1/8 cups orange juice\n8 cups mango puree\n3 1/2 cups club soda\n1 1/2 cups lemon - lime soda\n5/8 cup lemon juice\n2/3 cup lime juice\nwrite your answer as a fraction or as a whole or mixed number.\n______ cups

Answer

Explanation:

Step1: Identify the original quantity of lime juice

The original recipe has $\frac{2}{3}$ cup of lime juice.

Step2: Multiply by 4 to get the new quantity

To find 4 times the original quantity, we calculate $4\times\frac{2}{3}$. Using the rule of multiplying a whole number by a fraction ($a\times\frac{b}{c}=\frac{a\times b}{c}$), we get $\frac{4\times2}{3}=\frac{8}{3}$. Converting $\frac{8}{3}$ to a mixed number, we divide 8 by 3: 3 goes into 8 twice with a remainder of 2, so $\frac{8}{3}=2\frac{2}{3}$.

Answer:

$2\frac{2}{3}$ cups