rxs0005 wrote:

At a play , 5% of the patrons are late and seated immediately , but 30% of the patrons who are late are not seated until the end of Act 1. approx what percent of the patrons are late

Interesting question. Let me try to solve this.

Suppose total number of patrons is 100.

Let x be the number of patrons who are late.

Then, as per the statement,

**Quote:**

5% of the patrons are late and seated immediately

Patrons who are late but allowed to seat = 5

and

**Quote:**

30% of the patrons who are late are not seated until the end of Act 1.

Patrons who are late but are not allowed to seat = 0.3x

Now we know, Total number of patrons who are late = Number of patrons who are late but allowed to seat + Number of patrons who are late but are not allowed to seat

=> x = 5 + 0.3x

=> 0.7x = 5

=> x = 5/0.7 = 50/7

So, percentage of patrons who are late = 50/7% ~ 7.1%

Hope this will help.