. Karabo and Tumelo know their mass in pounds and ounces
The Correct Answer and Explanation is:
a) Karabo’s mass is 85.9 kg.
b) Tumelo’s mass is 65.7 kg.
Here is a detailed explanation of how to arrive at these answers.
The problem requires converting a person’s mass from the imperial system, specifically pounds (lb) and ounces (oz), to the metric system unit of kilograms (kg). The final answer must be rounded to one decimal place.
To solve this, we first need to express the total mass in a single imperial unit. The most straightforward approach is to convert the ounces into pounds and add them to the given pounds. The key conversion factor here is that 1 pound is equal to 16 ounces. Once we have the total mass in pounds, we can convert it to kilograms using the conversion factor: 1 pound is approximately equal to 0.453592 kilograms.
a) Karabo’s Mass Conversion
Karabo weighs 189 lb 6 oz.
First, we convert the 6 ounces into pounds by dividing by 16:
6 oz ÷ 16 oz/lb = 0.375 lb
Next, we add this decimal value to the whole pounds to get Karabo’s total mass in pounds:
189 lb + 0.375 lb = 189.375 lb
Now, we convert the total pounds to kilograms by multiplying by the conversion factor:
189.375 lb × 0.453592 kg/lb = 85.89885 kg
Finally, the problem asks for the answer to be correct to one decimal place. We look at the second decimal digit, which is 9. Since 9 is five or greater, we round up the first decimal digit.
Therefore, Karabo’s mass is 85.9 kg.
b) Tumelo’s Mass Conversion
Tumelo weighs 144 lb 12 oz.
First, we convert the 12 ounces into pounds:
12 oz ÷ 16 oz/lb = 0.75 lb
Next, we find Tumelo’s total mass in pounds:
144 lb + 0.75 lb = 144.75 lb
Now, we convert this value to kilograms:
144.75 lb × 0.453592 kg/lb = 65.65788 kg
Finally, we round the result to one decimal place. The second decimal digit is 5, so we round up the first decimal digit.
Therefore, Tumelo’s mass is 65.7 kg.
