Question

Ms. Higdon is planning her wedding. One venue charges

Answer 1

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.