At a party, six 1-liter bottles of soda are completely emptied into 8-ounce cups. What is the least number of cups that are needed? [ There are approximately 1.1 quarts in 1 liter.]

Answer

To solve the problem of how many 8-ounce cups are needed to hold the soda from six 1-liter bottles, we can follow these steps:

### Step 1: Calculate the total volume of soda in liters.
Since each bottle contains 1 liter and there are 6 bottles, the total volume of soda is:
\[ \text{Total volume in liters} = 6 \text{ bottles} \times 1 \text{ liter/bottle} = 6 \text{ liters} \]

### Step 2: Convert liters to quarts.
We know that 1 liter is approximately 1.1 quarts. Therefore, the total volume in quarts is:
\[ \text{Total volume in quarts} = 6 \text{ liters} \times 1.1 \text{ quarts/liter} = 6.6 \text{ quarts} \]

### Step 3: Convert quarts to ounces.
Using the conversion that 1 quart equals 32 ounces, we can convert the total volume from quarts to ounces:
\[ \text{Total volume in ounces} = 6.6 \text{ quarts} \times 32 \text{ ounces/quart} = 211.2 \text{ ounces} \]

### Step 4: Calculate the number of cups needed.
Each cup holds 8 ounces. To find the number of cups needed, we divide the total volume in ounces by the volume of one cup:
\[ N = \frac{\text{Total volume in ounces}}{\text{Volume of one cup in ounces}} = \frac{211.2 \text{ ounces}}{8 \text{ ounces/cup}} = 26.4 \text{ cups} \]

### Step 5: Round up to the nearest whole number.
Since we cannot have a fraction of a cup, we round 26.4 up to the nearest whole number:
\[ \text{Least number of cups needed} = 27 \]

Thus, the least number of cups needed is **27**.