Question

fruit punch ingredients
chopped watermelon 3 cups
sugar 3/4 cup
mint leaves 1/2 cup
white grape juice 2 cups
lime juice 3/4 cup
club soda 4 cups
writing and interpreting ratios find the ratio. then find and interpret the value of the ratio.

1. club soda : white grape juice
2. mint leaves : chopped watermelon
3. white grape juice to sugar
4. lime juice to mint leaves

Explanation:

Step1: Solve Q10: Set up ratio

Club soda = 4 cups, white grape juice = 2 cups.
Ratio: $4:2$
Simplify: $\frac{4}{2}=2$
Interpretation: There are 2 cups of club soda for every 1 cup of white grape juice.

Step2: Solve Q11: Set up ratio

Mint leaves = $\frac{1}{2}$ cup, chopped watermelon = 3 cups.
Ratio: $\frac{1}{2}:3$
Simplify: $\frac{\frac{1}{2}}{3}=\frac{1}{6}$
Interpretation: There is $\frac{1}{6}$ cup of mint leaves for every 1 cup of chopped watermelon.

Step3: Solve Q12: Set up ratio

White grape juice = 2 cups, sugar = $\frac{3}{4}$ cup.
Ratio: $2:\frac{3}{4}$
Simplify: $\frac{2}{\frac{3}{4}}=2\times\frac{4}{3}=\frac{8}{3}$
Interpretation: There are $\frac{8}{3}$ cups of white grape juice for every 1 cup of sugar.

Step4: Solve Q13: Set up ratio

Lime juice = $\frac{3}{4}$ cup, mint leaves = $\frac{1}{2}$ cup.
Ratio: $\frac{3}{4}:\frac{1}{2}$
Simplify: $\frac{\frac{3}{4}}{\frac{1}{2}}=\frac{3}{4}\times2=\frac{3}{2}$
Interpretation: There is $\frac{3}{2}$ cups of lime juice for every 1 cup of mint leaves.

Answer:

1. Ratio: $4:2$ (simplified to $2:1$), value = 2; For every 1 cup of white grape juice, there are 2 cups of club soda.
2. Ratio: $\frac{1}{2}:3$ (simplified to $1:6$), value = $\frac{1}{6}$; For every 1 cup of chopped watermelon, there is $\frac{1}{6}$ cup of mint leaves.
3. Ratio: $2:\frac{3}{4}$ (simplified to $8:3$), value = $\frac{8}{3}$; For every 1 cup of sugar, there are $\frac{8}{3}$ cups of white grape juice.
4. Ratio: $\frac{3}{4}:\frac{1}{2}$ (simplified to $3:2$), value = $\frac{3}{2}$; For every 1 cup of mint leaves, there are $\frac{3}{2}$ cups of lime juice.