Question

idil’s favorite drink is a orange creamsicle smoothie. she wants to make it for a party, but she’s not sure how many guests there will be. idil started making the following chart so she could know how much of each ingredient she would need, depending on the number of guests. fill in the missing numbers in the table below. use the arrow keys or tab to move from one cell to another. 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|6|12| |---|---|---|---|---|---| |bananas|2\\(\frac{1}{2}\\)|5|1\\(\frac{1}{4}\\)||| |oranges|3|6|1\\(\frac{1}{2}\\)||9| |yogurt (cups)|\\(\frac{3}{4}\\)|1\\(\frac{1}{2}\\)|\\(\frac{3}{8}\\)||| |milk (cups)|1\\(\frac{1}{3}\\)|2\\(\frac{2}{3}\\)|\\(\frac{2}{3}\\)|||4\\(\frac{2}{3}\\) |honey (tablespoons)|1\\(\frac{1}{2}\\)|3|\\(\frac{3}{4}\\)|2\\(\frac{1}{4}\\)||

Explanation:

First, find the ingredient amount per serving using the given servings and quantities:

• Bananas per serving: $2\frac{1}{2} \div 4 = \frac{5}{2} \div 4 = \frac{5}{8}$
• Oranges per serving: $3 \div 4 = \frac{3}{4}$
• Yogurt per serving: $\frac{3}{4} \div 4 = \frac{3}{16}$
• Milk per serving: $1\frac{1}{3} \div 4 = \frac{4}{3} \div 4 = \frac{1}{3}$
• Honey per serving: $1\frac{1}{2} \div 4 = \frac{3}{2} \div 4 = \frac{3}{8}$

Then calculate missing values:

• Bananas for 6 servings: $\frac{5}{8} \times 6 = 3\frac{3}{4}$; for 12 servings: $\frac{5}{8} \times 12 = 7\frac{1}{2}$
• Oranges for 6 servings: $\frac{3}{4} \times 6 = 4\frac{1}{2}$; for 12 servings: $\frac{3}{4} \times 12 = 9$
• Yogurt for 6 servings: $\frac{3}{16} \times 6 = \frac{9}{8} = 1\frac{1}{8}$; for 12 servings: $\frac{3}{16} \times 12 = \frac{9}{4} = 2\frac{1}{4}$
• Milk for 6 servings: $\frac{1}{3} \times 6 = 2$; for 12 servings: $\frac{1}{3} \times 12 = 4$
• Honey for 12 servings: $\frac{3}{8} \times 12 = \frac{9}{2} = 4\frac{1}{2}$
• Servings for 4$\frac{2}{3}$ cups milk: $4\frac{2}{3} \div \frac{1}{3} = \frac{14}{3} \times 3 = 14$

Step1: Find per-serving amounts

Calculate each ingredient per serving using 4 servings data.

Step2: Compute missing values

Multiply per-serving amounts by servings for each cell.

Step3: Find unknown servings

Divide given milk amount by per-serving milk.

Answer:

Servings	4	8	2	6	12	14
oranges	3	6	$1\frac{1}{2}$	$4\frac{1}{2}$	9	-
yogurt (cups)	$\frac{3}{4}$	$1\frac{1}{2}$	$\frac{3}{8}$	$1\frac{1}{8}$	$2\frac{1}{4}$	-
milk (cups)	$1\frac{1}{3}$	$2\frac{2}{3}$	$\frac{2}{3}$	2	4	$4\frac{2}{3}$
honey (tablespoons)	$1\frac{1}{2}$	3	$\frac{3}{4}$	$2\frac{1}{4}$	$4\frac{1}{2}$	-