Answer :
To determine the number of extra porters added, the original average weight per porter was calculated, and then the total number of porters needed to maintain the new average weight of 13 kg with the same total weight. It was found that 2 extra porters were added.
The student is asking about a mathematical problem involving the average weight carried by porters on an expedition. Initially, 13 porters are carrying a total of 195 kg. After extra porters join, the average weight carried by each porter becomes 13 kg. To find the number of extra porters added, we can use the concept of weighted averages. The calculation steps are as follows:
- Calculate the original average weight per porter: 195 kg \/ 13 porters = 15 kg per porter.
- Since the new average weight is 13 kg per porter, and we still have the same total weight of 195 kg, we set up the equation 195 kg = (13 kg)(total number of porters).
- Divide 195 kg by 13 kg to find the total number of porters after the extras are added: 195 kg \/ 13 kg = 15 porters.
- Subtract the original number of porters from the new total to find the number of porters added: 15 porters - 13 porters = 2 porters added.
Answer: 2 porters joined the group
Step-by-step explanation:
First, you are told that "13 porters are carrying a total weight of 195kg". You can use this information to create an equation to find the average weight carried by each porter.
[tex]\frac{195 kg}{13}=15kg[/tex]
^195kg (total weight) divided by 13 (the number of porters) is equal to 15kg (the average weight carried by each of the 13 porters).
You are then told that "extra porters join the group, so they carry an average weight of 13 kg of baggage". because some porters joined the group, you'll have to add p (p = number of porters) to the original equation and change the average weight from 15kg to 13kg.
[tex]\frac{195kg}{13 +p} = 13kg[/tex]
^195kg (total weight) divided by 13+p (total number of porters after some joined group) is equal to 13kg (new average weight)
You can then use your new equation to solve for "p" and find the number of porters added.
p = 2
