Question

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?

Answer 1

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.

Answer 2

28

Explanation:

Given: 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`.

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

Solution:

Total number of members in club
`=224`

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

Minimum presence required for vote
`=(3)/(16)*224`

`=42`

Minimum vote required to approve a proposal
`=(2)/(3)(\text{Total vote cast})`

Total vote cast
`=\text{Minimum members present}`

putting value,

Minimum vote required to approve a proposal
`=(2)/(3)*42`

`28`

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