Question

5-62. a lemonade recipe calls for 2 cups of lemon juice for 4 cups of water.
a. what is the ratio of lemon juice to total liquid? (hint: lemon juice/total liquid)
b. angel made 10 cups of lemonade. she used 3 cups of lemon juice in her mixture. did she follow the same recipe? in other words, did she use the same ratio of lemon juice to total liquid?

Explanation:

Step1: Calculate total liquid (recipe)

Total liquid = lemon juice + water = $2 + 4 = 6$ cups

Step2: Find recipe ratio

Ratio = $\frac{\text{lemon juice}}{\text{total liquid}} = \frac{2}{6} = \frac{1}{3}$

Step3: Calculate Angel's total liquid

Angel's total liquid = 10 cups, lemon juice = 3 cups

Step4: Find Angel's ratio

Angel's ratio = $\frac{3}{10}$

Step5: Compare the two ratios

$\frac{1}{3} \approx 0.333$, $\frac{3}{10} = 0.3$. These are not equal.

Answer:

a. $\frac{1}{3}$
b. No, she did not follow the same recipe. Her ratio of lemon juice to total liquid ($\frac{3}{10}$) is not equal to the recipe's ratio ($\frac{1}{3}$).