In order to vote on any decision, a club requires the presence of 3/16 of all club members. to be approved, a proposal needs 2/3 of the votes cast. a club has membership of 224. What is the minimum number of votes needed for a proposal to be approved?

Respuesta :

3/16 of 224 is 42.
42 need to show up.
2/3 of the 42 people need to vote Yes to be approved.
2/3 of 42 is 28.
aachen

Answer:

28

Step-by-step explanation:

Given: In order to vote on any decision, a club requires the presence of [tex]\frac{3}{16}[/tex] of all club members. to be approved, a proposal needs [tex]\frac{2}{3}[/tex] of the votes cast. a club has membership of [tex]224[/tex].

To Find: minimum number of votes needed for a proposal to be approved.

Solution:

Total number of members in club [tex]=224[/tex]

Minimum  presence required for vote on any decision [tex]=\frac{3}{16}(\text{Total members})[/tex]

Minimum presence required for vote [tex]=\frac{3}{16}\times224[/tex]

                                                              [tex]=42[/tex]

Minimum vote required to approve a proposal [tex]=\frac{2}{3}(\text{Total vote cast})[/tex]

Total vote cast [tex]=\text{Minimum members present}[/tex]

putting value,

Minimum vote required to approve a proposal [tex]=\frac{2}{3}\times42[/tex]                  

                                                                              [tex]28[/tex]

Hence minimum 28 votes are required for a proposal to be approved.