A tanker carries 12kL 750 L of water. It supplies 80 daL water to each house.
To how many houses will it supply the water and how much water will be over?

Answer

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

### Step 1: Convert the total water in the tanker to liters.
The tanker carries 12 kiloliters and 750 liters of water.
1 kiloliter (kL) = 1000 liters (L).

So, we convert 12 kL to liters:
\[ 12 \, \text{kL} = 12 \times 1000 \, \text{L} = 12000 \, \text{L} \]

Now, we add the 750 liters:
\[ \text{Total water} = 12000 \, \text{L} + 750 \, \text{L} = 12750 \, \text{L} \]

### Step 2: Convert the water supplied to each house from decaliters to liters.
The tanker supplies 80 decaliters (daL) of water to each house.
1 decaliter = 10 liters.

So, we convert 80 daL to liters:
\[ 80 \, \text{daL} = 80 \times 10 \, \text{L} = 800 \, \text{L} \]

### Step 3: Calculate the number of houses that can be supplied with water.
To find out how many houses can be supplied, we divide the total amount of water by the amount supplied to each house:
\[ \text{Number of houses} = \frac{\text{Total water}}{\text{Water supplied to each house}} \]
\[ \text{Number of houses} = \frac{12750 \, \text{L}}{800 \, \text{L}} \]

### Step 4: Perform the division.
Now we perform the division:
\[ 12750 \div 800 = 15.9375 \]

Since we can only supply whole houses, we take the whole number part, which is 15 houses.

### Step 5: Calculate the remaining water.
Now, we need to calculate how much water will be left after supplying to 15 houses:
\[ \text{Water supplied to 15 houses} = 15 \times 800 \, \text{L} = 12000 \, \text{L} \]
\[ \text{Remaining water} = \text{Total water} - \text{Water supplied} \]
\[ \text{Remaining water} = 12750 \, \text{L} - 12000 \, \text{L} = 750 \, \text{L} \]

### Final Answer:
The tanker will supply water to **15 houses**, and there will be **750 liters** of water left over.

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