Question

kirans favorite drink is a red bean tapioca milkshake. he wants to make it for a party, but hes not sure how many guests there will be. kiran 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 | 10 | 12 | 6 | |---|---|---|---|---|---|---| | vanilla ice cream (pints) | $1\frac{1}{2}$ | | $\frac{3}{4}$ | $3\frac{3}{4}$ | $4\frac{1}{2}$ | $2\frac{1}{4}$ | | red beans (cups) | $\frac{1}{2}$ | 1 | | $1\frac{1}{4}$ | $1\frac{1}{2}$ | $\frac{3}{4}$ | | milk (cups) | $\frac{1}{3}$ | $\frac{2}{3}$ | $\frac{1}{6}$ | $\frac{5}{6}$ | 1 | | | lemon juice (teaspoons) | $2\frac{1}{2}$ | 5 | $1\frac{1}{4}$ | $6\frac{1}{4}$ | | $3\frac{3}{4}$ | | pearl tapioca (cups) | $\frac{1}{4}$ | $\frac{1}{2}$ | $\frac{1}{8}$ | | $\frac{3}{4}$ | $\frac{3}{8}$ |

Explanation:

Step1: Find 8 servings ice cream

8 servings is 2×4 servings. Multiply 4-serving amount by 2:
$1\frac{1}{2} \times 2 = \frac{3}{2} \times 2 = 3$

Step2: Find 2 servings red beans

2 servings is $\frac{1}{2}$ of 4 servings. Multiply 4-serving amount by $\frac{1}{2}$:
$\frac{1}{2} \times \frac{1}{2} = \frac{1}{4}$

Step3: Find 6 servings milk

6 servings is $\frac{3}{2}$ of 4 servings. Multiply 4-serving amount by $\frac{3}{2}$:
$\frac{1}{3} \times \frac{3}{2} = \frac{1}{2}$

Step4: Find 12 servings lemon juice

12 servings is 3×4 servings. Multiply 4-serving amount by 3:
$2\frac{1}{2} \times 3 = \frac{5}{2} \times 3 = \frac{15}{2} = 7\frac{1}{2}$

Step5: Find 10 servings pearl tapioca

10 servings is $\frac{5}{2}$ of 4 servings. Multiply 4-serving amount by $\frac{5}{2}$:
$\frac{1}{4} \times \frac{5}{2} = \frac{5}{8}$

Answer:

Missing Cell (Ingredient, Servings)	Value
red beans, 2	$\frac{1}{4}$
milk, 6	$\frac{1}{2}$
lemon juice, 12	$7\frac{1}{2}$
pearl tapioca, 10	$\frac{5}{8}$