Hector extended family was gathering for a family reunion.There were 8 sets of aunts and uncles.there were twice as many cousins as uncles.there were two sets grandparents,and then there was Hector family of five.How many people were at the reunion??
8 sets of aunts and uncles = 16
twice as many cousins as uncles = 16
two sets grandparents = 4
Hector family of five = 5
Well, it sounds like Hector's family reunion was a real extravaganza! Let's break it down. We know there were 8 sets of aunts and uncles, so that's 16 people right there. Since there were twice as many cousins as uncles, we can assume there were 2 cousins per uncle (since each set of uncle and aunt has the same number of cousins). Therefore, we have 2 cousins x 8 sets of uncles = 16 cousins.
Now let's add up the numbers: 16 uncles + 16 cousins + 16 (aunts) + 2 (sets of grandparents) + 1 (Hector) + 4 (Hector's family) =
That gives us a grand total of 55 people at the family reunion! Quite the gathering, huh? I hope there was enough cake to go around!
Let's calculate the number of people at the family reunion step by step:
Step 1: Calculate the number of aunts and uncles:
Since there are 8 sets of aunts and uncles, and each set consists of an aunt and uncle, there are a total of 8 * 2 = 16 aunts and uncles.
Step 2: Calculate the number of cousins:
Given that there were twice as many cousins as uncles, the number of cousins would be 2 * 16 = 32.
Step 3: Calculate the number of grandparents:
Since there are two sets of grandparents, there would be a total of 2 * 2 = 4 grandparents.
Step 4: Calculate the number of Hector's family members:
Hector's family consists of five members, including Hector himself.
Step 5: Calculate the total number of people at the family reunion:
To determine the total number of people at the reunion, we need to sum up the number of aunts and uncles, cousins, grandparents, and Hector's family members.
Thus, the total number of people at the family reunion is 16 + 32 + 4 + 5 = 57.
Therefore, there were 57 people at the family reunion.
To solve this problem, let's break it down step by step:
1. Calculate the number of uncles: Since there were 8 sets of aunts and uncles, and each set consists of a pair of aunts and uncles, there are a total of 8 * 2 = 16 uncles.
2. Determine the number of cousins: We are told that there were twice as many cousins as uncles. Therefore, the number of cousins is 16 * 2 = 32.
3. Calculate the number of grandparents: We are informed that there were two sets of grandparents. Since each set consists of a pair of grandparents, there are a total of 2 * 2 = 4 grandparents.
4. Determine the number of people in Hector's family: Hector's own family consists of five people.
5. Calculate the total number of people at the reunion: Add up the number of uncles, cousins, grandparents, and Hector's family. So, the total number of people at the reunion is 16 uncles + 32 cousins + 4 grandparents + 5 in Hector's family = 57 people.
Therefore, there were 57 people at the family reunion.