There were 325 people at a conference. If each of 30 people brought 3 guests, each of the 20 brought 2 guests and each 40 people brought 1 guest, how many people did not bring any guests?
Please explain Thanks
"each of 30 people brought 3 guests" accounts for 30 + 90 or 120 people
"each of the 20 brought 2 guest" accounts for 20 + 40 or 60 guests
"each of 40 people brought 1 guest" accounts for 40 + 40 = 80 people
total so far: 120+60+80 = 260
leaving 325-260 or 65 guests who came just by themselves.
To find the number of people who did not bring any guests, we need to count the total number of guests brought to the conference and subtract it from the total number of people present.
First, let's calculate the number of guests brought by each group:
- The first group consists of 30 people, and each person brings 3 guests, so 30 x 3 = 90 guests.
- The second group consists of 20 people, and each person brings 2 guests, so 20 x 2 = 40 guests.
- The third group consists of 40 people, and each person brings 1 guest, so 40 x 1 = 40 guests.
Now, to find the total number of guests, we add up the guests brought by each group: 90 + 40 + 40 = 170 guests.
Since there were 325 people at the conference, to find the number of people who did not bring guests, we subtract the total number of guests (170) from the total number of people present (325):
325 - 170 = 155.
Therefore, 155 people did not bring any guests to the conference.