Answer:
80 people would need to attend for the venues to cost the same amount.
Step-by-step explanation:
Let the total number of people who attend the wedding = m
The venue charges of venue 1 = $10,000
The per person charge of Venue 1 = $25 per person
So, the charge for m people = m x ($25) = 25 m
So ,The total charge of Venue 1 = Venue Charge + People Cost
= $10, 000 + 25 m
Now, The per person charge of Venue 2 = $150 per person
So, the charge for m people = m x ($150) = 150 m
So ,The total charge of Venue 2 = 150 m
According to question:
For m people both charges are equal ⇒ $10, 000 + 25 m = 150 m
or, 10,000 = 150 m - 25 m
⇒ 125 m = 10,000
⇒ m = 10,000 / 125 = 80
or, m = 80
Hence, 80 people would need to attend for the venues to cost the same amount.
