14 L 280 mL of orange juice and 18 L 830 mL of carrot juice were mixed together. This mixture was filled in 15 bottles each containing 1.5 L. How much mixture was left?

Options

A. 11 L 105 mL.
B. 9 L 610 mL
C. 11 L 605 ml
D. 10 L 610 ml

Answer

To solve the problem step by step, we will follow these instructions:

### Step 1: Convert the quantities of orange juice and carrot juice into a single unit (liters and milliliters).
- Orange juice: 14 L 280 mL
- Carrot juice: 18 L 830 mL

### Step 2: Add the quantities of orange juice and carrot juice together.
- Convert everything to milliliters for easier addition:
- Orange juice: 14 L = 14 * 1000 mL = 14000 mL
- Carrot juice: 18 L = 18 * 1000 mL = 18000 mL
- Now add the milliliters:
- Total juice = 14000 mL + 280 mL + 18000 mL + 830 mL
- Total juice = 14000 + 18000 + 280 + 830 = 32710 mL

### Step 3: Convert the total volume back to liters and milliliters.
- 32710 mL = 32 L and 710 mL (since 1000 mL = 1 L)

### Step 4: Calculate the total volume of juice filled in the bottles.
- Each bottle contains 1.5 L and there are 15 bottles:
- Total volume in bottles = 15 * 1.5 L = 22.5 L
- Convert 22.5 L to milliliters:
- 22.5 L = 22 * 1000 mL + 500 mL = 22500 mL

### Step 5: Subtract the total volume in bottles from the total volume of juice.
- Total juice = 32710 mL
- Volume in bottles = 22500 mL
- Remaining mixture = 32710 mL - 22500 mL = 10210 mL

### Step 6: Convert the remaining volume back to liters and milliliters.
- 10210 mL = 10 L and 210 mL

### Final Answer:
The amount of mixture left is **10 L 210 mL**.

---