To solve the problem step by step, we will first convert all measurements to the same unit, then calculate the maximum number of families that can be served, and finally determine how much milk will be left over.
### Step 1: Convert the total amount of milk to milliliters (mL)
The booth has:
- 1 kL of milk = 1,000 liters = 1,000,000 mL (since 1 liter = 1,000 mL)
- 750 mL of milk
Total milk in mL:
\[
\text{Total milk} = 1,000,000 \text{ mL} + 750 \text{ mL} = 1,000,750 \text{ mL}
\]
### Step 2: Convert the amount of milk provided to each family to milliliters (mL)
Each family is provided:
- 2 L of milk = 2,000 mL (since 1 liter = 1,000 mL)
- 250 mL of milk
Total milk per family in mL:
\[
\text{Milk per family} = 2,000 \text{ mL} + 250 \text{ mL} = 2,250 \text{ mL}
\]
### Step 3: Calculate the maximum number of families that can be served
To find the maximum number of families, we divide the total amount of milk by the amount of milk each family receives:
\[
\text{Number of families} = \frac{\text{Total milk}}{\text{Milk per family}} = \frac{1,000,750 \text{ mL}}{2,250 \text{ mL}}
\]
Calculating this gives:
\[
\text{Number of families} = 444.777...
\]
Since we cannot serve a fraction of a family, we round down to the nearest whole number:
\[
\text{Maximum families} = 444
\]
### Step 4: Calculate the total milk used for 444 families
Now, we calculate the total milk used for 444 families:
\[
\text{Total milk used} = 444 \times 2,250 \text{ mL} = 999,000 \text{ mL}
\]
### Step 5: Calculate the leftover milk
Now we subtract the total milk used from the total milk available to find the leftover milk:
\[
\text{Leftover milk} = \text{Total milk} - \text{Total milk used}
\]
\[
\text{Leftover milk} = 1,000,750 \text{ mL} - 999,000 \text{ mL} = 1,750 \text{ mL}
\]
### Final Answers
- The maximum number of families the booth can cater to is **444**.
- The amount of milk left over is **1,750 mL**.
