Question

anand’s favorite drink is a pineapple lemonade. he wants to make it for a party, but he’s not sure how many guests there will be. anand started making the following chart so he could know how much of each ingredient he would need, depending on the number of guests.
fill in the missing numbers in the table below. to enter a mixed number, press the “+” key or click the “mixed number” button below. to view a hint, click in a cell, then press the “h” key or click the “hint” button below.

servings	4	8	2	12		14
water (quarts)	1	2	\\(\frac{1}{2}\\)	3	\\(1\frac{1}{2}\\)
sugar (cups)	\\(\frac{1}{2}\\)	1	\\(\frac{1}{4}\\)	\\(1\frac{1}{2}\\)	\\(\frac{3}{4}\\)	\\(1\frac{3}{4}\\)
pineapple juice (cups)	\\(1\frac{1}{2}\\)	3		\\(4\frac{1}{2}\\)	\\(2\frac{1}{4}\\)	\\(5\frac{1}{4}\\)
lemon - lime soda (cups)	\\(\frac{3}{4}\\)		\\(\frac{3}{8}\\)	\\(2\frac{1}{4}\\)	\\(1\frac{1}{8}\\)	\\(2\frac{5}{8}\\)

Explanation:

Lemons (12 servings)

Step1: Find the ratio of lemons to servings

For 4 servings, lemons = 4, so ratio is \( \frac{4}{4} = 1 \) lemon per serving.

Step2: Calculate for 12 servings

\( 12 \times 1 = 12 \)

Step1: Ratio of lemons to servings is 1 (from before)

Step2: Servings = lemons / ratio = \( \frac{6}{1} = 6 \)

Step1: Find ratio of water to servings. For 4 servings, water = 1 quart, so ratio is \( \frac{1}{4} \) quart per serving.

Step2: Calculate for 14 servings

\( 14 \times \frac{1}{4} = \frac{14}{4} = 3\frac{1}{2} \)

Answer:

12

Servings (lemons = 6)