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

Answer:

28

Step-by-step explanation:

Given: In order to vote on any decision, a club requires the presence of $\frac{3}{16}$ of all club members. to be approved, a proposal needs $\frac{2}{3}$ 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 $=\frac{3}{16}(\text{Total members})$

Minimum presence required for vote $=\frac{3}{16}\times224$

                                                              $=42$

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

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

putting value,

Minimum vote required to approve a proposal $=\frac{2}{3}\times42$                  

                                                                              $28$

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