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.

Answer 1

• Samantha's ratio of lemonade to total is of $\mathbf{\frac{5}{12}}$.
• Caden's ratio of lemonade to total is of $\mathbf{\frac{15}{32}}$.

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The ratio of a to b is a divided by b, that is:

$r = \frac{a}{b}$

For Samantha's recipe:

$3\frac{1}{2} = 3 + \frac{1}{2} = \frac{7}{2}$ of cranapple juice.

$2\frac{1}{2} = 2 + \frac{1}{2} = \frac{5}{2}$ of lemonade.

Total of: $\frac{7}{2} + \frac{5}{2} = 6$

The ratio of lemonade to total is:

$r = \frac{\frac{5}{2}}{6} = \frac{5}{12}$

Samantha's ratio of lemonade to total is of $\mathbf{\frac{5}{12}}$.

For Caden's:

Of cranapple, $4\frac{1}{4} = 4 + \frac{1}{4} = \frac{17}{4}$

Of lemonade, $3\frac{3}{4} = 3 + \frac{3}{4} = \frac{15}{4}$

Total of: $\frac{17}{4} + \frac{15}{4} = \frac{32}{4} = 8$

The ratio of lemonade to total is:

$r = \frac{\frac{15}{4}}{8} = \frac{15}{32}$

Caden's ratio of lemonade to total is of $\mathbf{\frac{15}{32}}$.

A similar problem is given at https://brainly.com/question/19905617