Question

At the Perkins family reunion, 15% of the attendees are under twenty years old. If 18 attendees are under twenty years old, then how many attendees are at the Perkins family reunion altogether?

a) 80
b) 90
c) 100
d) 120

Answer 1

To find the total number of attendees at the Perkins family reunion, we use the given percentage of those under twenty (15%) and the number of attendees under twenty (18) to set up the equation 0.15 * T = 18. Solving for T gives us 120 attendees in total.

Step-by-step explanation:

The subject of the question is Mathematics, specifically dealing with percentages and basic algebra to solve a practical problem related to attendees at a family reunion.

To calculate the total number of attendees at the Perkins family reunion, we need to use the information that 15% of the attendees are under twenty years old and that this number amounts to 18 attendees. We can set up an equation to represent this scenario where 0.15 (15%) times the total number of attendees (which we'll call T) is equal to 18. The equation would be: 0.15T = 18.

To find T, we divide both sides of the equation by 0.15:

1. 0.15T = 18
2. T = 18 / 0.15
3. T = 120

Therefore, there are 120 attendees at the Perkins family reunion altogether, which corresponds to answer choice d).