Answer:
There are half as many at the birthday party.
Step-by-step explanation:
The amount of fun that Eman has at a party is inversely proportional to the number of people at the party.
If F represents the amount of fun and N represents the number of people in the party, then F ∝ 1/ N
So, comparing last week's holiday party where fun was [tex]F_{h}[/tex] and number of people was [tex]N_{h}[/tex] and the birthday party where fun is [tex]F_{b}[/tex] and the number of people is [tex]N_{b}[/tex], we can write
[tex]F_{h}N_{h} = F_{b}N_{b}[/tex]
⇒ [tex]N_{b} = \frac{F_{h} }{F_{b}} \times N_{h} = \frac{N_{h}}{2}[/tex]
{Since, Eman is having twice as much fun at a birthday party as he had at last week's holiday party}
Therefore, there are half as many people at the birthday party. (Answer)