15 L 286 mL of orange juice is mixed with 19 L 714 mL of carrot juice. 12 L 750 mL of the mixture is used and the rest is filled in bottles each containing 250 mL. The number of bottles is

Options

A. 81
B. 77
C. 89
D. 85

Answer

To solve the problem step by step, we will follow the instructions given in the video transcript.

### Step 1: Convert the volumes of juice to a consistent unit
We have:
- Orange juice: 15 L 286 mL
- Carrot juice: 19 L 714 mL

First, we convert both quantities into milliliters (mL):
- 1 liter = 1000 milliliters

So,
- Orange juice: \( 15 \times 1000 + 286 = 15000 + 286 = 15286 \) mL
- Carrot juice: \( 19 \times 1000 + 714 = 19000 + 714 = 19714 \) mL

### Step 2: Calculate the total volume of the mixture
Now, we add the volumes of orange juice and carrot juice:
\[ \text{Total mixture} = 15286 \text{ mL} + 19714 \text{ mL} = 35000 \text{ mL} \]

### Step 3: Convert the total mixture back to liters
To convert back to liters:
\[ 35000 \text{ mL} = 35 \text{ L} \]

### Step 4: Calculate the volume of the mixture used
The problem states that 12 L 750 mL of the mixture is used. We convert this to milliliters:
\[ 12 \times 1000 + 750 = 12000 + 750 = 12750 \text{ mL} \]

### Step 5: Calculate the remaining volume of the mixture
Now, we find the remaining volume of the mixture:
\[ \text{Remaining mixture} = 35000 \text{ mL} - 12750 \text{ mL} = 22250 \text{ mL} \]

### Step 6: Convert the remaining volume to liters and milliliters
We can express 22250 mL in liters:
\[ 22250 \text{ mL} = 22 \text{ L} + 250 \text{ mL} \]

### Step 7: Calculate the number of bottles
Each bottle contains 250 mL. To find the number of bottles, we divide the remaining volume by the volume of one bottle:
\[ \text{Number of bottles} = \frac{22250 \text{ mL}}{250 \text{ mL}} = 89 \]

### Final Answer
The number of bottles is **89**.

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