Question

30

The number of tables needed is proportional to the number of
people who are attending a banquet. The table below shows the
relationship.
BANQUET TABLES
D 20
Number of Tables
5
15
25
Number of People Attending
60
180
300
A banquet for 192 people is being held. How many tables are
needed for this banquet?
A 8
B 12
C 16
D 20

Answer 1

`\begin{array}{ccll} tables&persons\\ \cline{1-2} 15 & 180\\ x& 192 \end{array} \implies \cfrac{15}{x}~~=~~\cfrac{180}{192} \implies \cfrac{ 15 }{ x } ~~=~~ \cfrac{ 15 }{ 16 }\implies x=16`