Answer: The solution is T=12
Step-by-step explanation: Let's denote the total number of people attending the family reunion as "T."
1. Omar's family represents a quarter of the attendees:
Omar's family = T / 4 people
2. Michael's family represents the third part:
Michael's family = T / 3 people
3. Fernando's family is made up of 5 people:
Fernando's family = 5 people
The total number of people attending the meeting is the sum of the three families:
Total attendees = Omar's family + Michael's family + Fernando's family
Total attendees = (T / 4) + (T / 3) + 5
Since we're trying to find the value of "T" (total attendees), we can set up an equation based on the given information:
Total attendees = (T / 4) + (T / 3) + 5
To solve for "T," we can find a common denominator for the fractions and then solve the equation. The common denominator for 4 and 3 is 12.
Multiplying the first fraction by 3/3 and the second fraction by 4/4, we get:
Total attendees = (3T / 12) + (4T / 12) + 5
Combining the fractions:
Total attendees = (3T + 4T) / 12 + 5
Simplifying the fraction:
Total attendees = (7T / 12) + 5
Now, we want to solve for "T":
(7T / 12) + 5 = T
Multiply both sides of the equation by 12 to eliminate the fraction:
7T + 60 = 12T
Subtract 7T from both sides:
60 = 5T
Divide both sides by 5:
T = 12 Therefore, 12 people are attending the family reunion.