Adam has a mass of 37.5 kilograms. Cole has a mass of 34.56 kilograms. Grace has a mass of 35 kilograms 65 grams. What is their combined mass in kilograms and grams?
Understand the Problem
The question asks to calculate the combined mass of Adam, Cole, and Grace, given their individual masses. Adam's and Cole's masses are provided in kilograms, while Grace's mass is in kilograms and grams. We need to first convert all masses to the same unit (either kilograms or grams), then sum them up, and finally express the result in kilograms and grams.
Answer
107 kilograms 125 grams
Answer for screen readers
107 kilograms 125 grams
Steps to Solve
- Convert Grace's mass to kilograms
Since 1 kilogram equals 1000 grams, we convert 65 grams to kilograms by dividing by 1000:
$$ 65 \text{ grams} = \frac{65}{1000} \text{ kilograms} = 0.065 \text{ kilograms} $$
Therefore, Grace's mass in kilograms is:
$$ 35 \text{ kilograms} + 0.065 \text{ kilograms} = 35.065 \text{ kilograms} $$
- Calculate the combined mass in kilograms
Add Adam's, Cole's, and Grace's masses in kilograms:
$$ 37.5 + 34.56 + 35.065 = 107.125 \text{ kilograms} $$
- Convert the combined mass to kilograms and grams
The whole number part of the combined mass is the number of kilograms, which is 107 kg.
To find the number of grams, we take the decimal part (0.125) and multiply it by 1000:
$$ 0.125 \text{ kilograms} = 0.125 \times 1000 \text{ grams} = 125 \text{ grams} $$
107 kilograms 125 grams
More Information
The problem involves unit conversion and addition. Paying attention to the units is crucial for obtaining the correct answer.
Tips
A common mistake is to simply add the numbers without converting the units to the same measurement, or misinterpreting the decimal portion of the kilogram value. For example, some may misinterpret 37.5 kilograms as 37 kilograms and 5 grams. To avoid this, ensure all values are in the same unit before adding.
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