# [Solved] Sam weighs 51 kg. What is this weight to the nearest stone? Use the conversion 1kg = 2.2 pounds and 14 pounds = 1 stone

**According to the given question, Sam weighs 51 kg. We have to find the weight to the nearest stone, using the conversion 1kg = 2.2 pounds and 14 pounds = 1 stone.**

**Concept used**

The concept used to solve this problem is unit conversion, which involves converting a quantity from one unit of measurement to another.

In this case, the weight is given in kilograms, and you want to find the weight in stones.

To do this, you need to use conversion factors relating to the two measurement units.

The first conversion factor used in this problem is 1 kilogram = 2.2 pounds, which allows you to convert the weight in kilograms to the weight in pounds.

The second conversion factor used in this problem is 14 pounds = 1 stone, which allows you to convert the weight in pounds to the weight in stones.

To use these conversion factors to solve the problem, you need to multiply the weight in kilograms by the first conversion factor to get the weight in pounds and then divide the weight in pounds by the second conversion factor to get the weight in stones.

Finally, you round the weight in stones to the nearest whole number to find the weight in stones to the nearest stone.

**Conversion from kilograms to pounds**

We know that 1 kilogram is equivalent to 2.2 pounds.

So, to convert Sam’s weight from kilograms to pounds, we multiply Sam’s weight in kilograms by the conversion factor.

Sam’s weight in pounds = Sam’s weight in kg × Conversion factor Sam’s weight in pounds

Sam’s weight in pounds = 51 kg × 2.2 pounds/kg

**Conversion from pounds to stones**

We know that 14 pounds is equivalent to 1 stone.

So, to convert Sam’s weight from pounds to stones, we divide Sam’s weight in pounds by the conversion factor.

Sam’s weight in stones = Sam’s weight in pounds / Conversion factor

Sam’s weight in stones = (51 kg * 2.2 pounds/kg) / 14 pounds/stone

Sam’s weight in pounds is approximately 112.44 lb.

This weight in stones is approximately eight stones.

**So, Sam’s weight of 51 kg is approximately equivalent to 8 stones and 7 ounces.**

## Alternative Method

**Solution:** It is given that Sam’s weight is = 51 kg

As per the question, it is given that 1kg = 2.2 pounds.

14 pounds = 1 stone

According to the question, we must determine Sam’s weight to the nearest stone.

First, convert the weight in kilograms to pounds by multiplying the weight in kilograms by the conversion factor that relates pounds and kilograms.

The conversion factor is 2.2 pounds per kilogram. So, if the weight in kilograms is 51 kg, then the weight in pounds is 51 kg * 2.2 pounds/kg = 112.2 pounds.

1kg = 2.2 pounds.

51kg = 51 × 2.2

51kg = 112.2 pounds

Next, divide the weight in pounds by the conversion factor that relates stones and pounds. The conversion factor is 14 pounds per stone.

So, if the weight in pounds is 112.2 pounds, then the weight in stones is 112.2 pounds / 14 pounds/stone = 8 stones.

Now, we will convert the value in pounds to stone:

14 pounds = 1 stone ────── **①**

Let 112.2 pounds be = x ────── **②**

Cross multiplying equations **① **and **②**, we get

14x = 112.2

Finally, round the weight in stones to the nearest whole number.

In this case, the weight is already a whole number, so no further rounding is necessary.

Therefore, the weight of the stones is approximately 8 stones.

x = 8.01 ≃ 8 stone

**Hence, 8 stones are the weight of the nearest stone.**

**Conclusion**

**Sam weighs 51 kg. This weight to the nearest stone is eight stones.**