QUESTION IMAGE
Question
mayerlín’s favorite drink is a strawberry rhubarb milkshake. she wants to make it for a party, but she’s not sure how many guests there will be. mayerlin 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. 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 | 10 | 20 | 5 | 15 | 11 | |
|---|---|---|---|---|---|---|
| sugar (cups) | $\frac{3}{4}$ | $1\frac{1}{2}$ | $\frac{3}{8}$ | $1\frac{1}{8}$ | $\frac{3}{40}$ | $\frac{33}{40}$ |
| orange zest (teaspoons) | $1\frac{1}{4}$ | $2\frac{1}{2}$ | $\frac{5}{8}$ | $1\frac{7}{8}$ | $\frac{1}{8}$ | |
| milk (cups) | $2\frac{1}{2}$ | $1\frac{1}{4}$ | $3\frac{3}{4}$ | $\frac{1}{4}$ | $2\frac{3}{4}$ | |
| strawberry ice cream (pints) | $6\frac{1}{4}$ | $12\frac{1}{2}$ | $3\frac{1}{8}$ | $\frac{5}{8}$ | $6\frac{7}{8}$ |
Step1: Find per-serving rhubarb
First, calculate rhubarb per serving using 10 servings:
$\frac{7\frac{1}{2}}{10} = \frac{\frac{15}{2}}{10} = \frac{15}{20} = \frac{3}{4}$ cups per serving
For 5 servings: $5 \times \frac{3}{4} = \frac{15}{4} = 3\frac{3}{4}$
Step2: Find unknown servings for rhubarb
Use $\frac{3}{4}$ cups rhubarb: $\frac{3/4}{3/4} = 1$ serving
Step3: Find 20 servings milk
Milk per serving: $\frac{2\frac{1}{2}}{10} = \frac{5/2}{10} = \frac{1}{4}$ cups per serving
For 20 servings: $20 \times \frac{1}{4} = 5$ cups
Step4: Find 15 servings ice cream
Ice cream per serving: $\frac{6\frac{1}{4}}{10} = \frac{25/4}{10} = \frac{5}{8}$ pints per serving
For 15 servings: $15 \times \frac{5}{8} = \frac{75}{8} = 9\frac{3}{8}$
Step5: Find 11 servings orange zest
Zest per serving: $\frac{1\frac{1}{4}}{10} = \frac{5/4}{10} = \frac{1}{8}$ teaspoons per serving
For 11 servings: $11 \times \frac{1}{8} = \frac{11}{8} = 1\frac{3}{8}$
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| Missing Cell Location | Value |
|---|---|
| Rhubarb (5 servings) | $3\frac{3}{4}$ |
| Milk (20 servings) | $5$ |
| Strawberry Ice Cream (15 servings) | $9\frac{3}{8}$ |
| Orange Zest (11 servings) | $1\frac{3}{8}$ |