Samantha and Caden are planning an end-of-school party for the computer club at their school. They each suggest a recipe for punch to serve at the party. Samantha's Recipe 3 1 2 parts cranapple juice 2 1 2 parts lemonade Caden's Recipe 4 1 4 parts cranapple juice 3 3 4 parts lemonade For each recipe, write a ratio that compares the number of parts of lemonade to the total number of parts.

1 answer
Question:

Samantha and Caden are planning an end-of-school party for the computer club at their school. They each suggest a recipe for punch to serve at the party.
Samantha's Recipe
3
1
2
parts cranapple juice
2
1
2
parts lemonade
Caden's Recipe
4
1
4
parts cranapple juice
3
3
4
parts lemonade
For each recipe, write a ratio that compares the number of parts of lemonade to the total number of parts.

Answers

Samantha's ratio of lemonade to total is of [tex]\mathbf{\frac{5}{12}}[/tex].Caden's ratio of lemonade to total is of [tex]\mathbf{\frac{15}{32}}[/tex].--------------------------------The ratio of a to b is a divided by b, that is:[tex]r = \frac{a}{b}[/tex]For Samantha's recipe:[tex]3\frac{1}{2} = 3 + \frac{1}{2} = \frac{7}{2}[/tex] of cranapple juice.[tex]2\frac{1}{2} = 2 + \frac{1}{2} = \frac{5}{2}[/tex] of lemonade.Total of: [tex]\frac{7}{2} + \frac{5}{2} = 6[/tex]The ratio of lemonade to total is:[tex]r = \frac{\frac{5}{2}}{6} = \frac{5}{12}[/tex]Samantha's ratio of lemonade to total is of [tex]\mathbf{\frac{5}{12}}[/tex].For Caden's:Of cranapple, [tex]4\frac{1}{4} = 4 + \frac{1}{4} = \frac{17}{4}[/tex]Of lemonade, [tex]3\frac{3}{4} = 3 + \frac{3}{4} = \frac{15}{4}[/tex]Total of: [tex]\frac{17}{4} + \frac{15}{4} = \frac{32}{4} = 8[/tex]The ratio of lemonade to total is:[tex]r = \frac{\frac{15}{4}}{8} = \frac{15}{32}[/tex]Caden's ratio of lemonade to total is of [tex]\mathbf{\frac{15}{32}}[/tex].A similar problem is given at https://brainly.com/question/19905617

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