Answer:
option b) 0.079
Step-by-step explanation:
The explanation for this question is given in the attachment below.
Question:
An hour before show time, only 155 people are seated for rockfest. According to the ticket sales, 95% of the people have yet to arrive. How many tickets were sold?
Answer:
3100 tickets
Step-by-step explanation:
Given
--- Yet to arrive
Required
Determine the total number of people
If 95% are yet to arrive, then 5% have arrived (i.e. 100% - 95%)
So, the total number of people is calculated as:
Where x represents the total number of tickets
Make x the subject
Answer:
x = 6
Step-by-step explanation:
The ratio of consecutive terms is the same, so we have ...
x/3 = (x +6)/x
x^2 = 3(x +6) . . . . . . multiply by 3x
x^2 -3x -18 = 0 . . . . subtract 3(x+6), simplify
(x -6)(x +3) = 0 . . . . factor
x = 6 . . . . . . . . . the only possible positive value
___
<em>Additional comment</em>
The zero product rule tells you that a product will be zero if and only if a factor is zero. That is, the solutions to this equation are values of x that make the factors zero: x = 6, x = -3.