Answer:
X = 5
Step-by-step explanation:
I think there a problem with the question, If there is one less person in the group then the payment by each remaining person is must more than $2 than the previous, because the rent cost unchanged but the number of people in the group decreased.
Before, cost per person : [tex]\frac{40}{x}[/tex]
After cost per person: = [tex]\frac{40}{x -1 }[/tex]
However, the payment by each remaining person is more than $2 than the previous, so
[tex]\frac{40}{x -1 }[/tex] = [tex]\frac{40}{x}[/tex] + 2
<=> [tex]2x^{2}[/tex] - 2x -40 = 0
<=> X = 5
