The correct answer is 5/6. To find the total votes for the two people, you add the fractions:
, which is the total combined votes.
Let's break this down step by step. If the first person receives
of the votes, and the second person receives
of the votes, the total votes cast for these two candidates can be calculated based on these fractions.
First, let's assume the total number of votes is represented by
. Then, the votes received by the first person would be
, and the votes received by the second person would be
.
So, to find the total votes for the two people combined, you add their individual vote counts:
![\[ \text{Total votes for the first person} + \text{Total votes for the second person} \]](https://img.qammunity.org/2024/formulas/mathematics/college/idh7ywk2nuz4vx5kka062ijgyo6ixlmcvv.png)
![\[ = (3)/(5) * V + (2)/(5) * V \]](https://img.qammunity.org/2024/formulas/mathematics/college/3cxgpl0kjlndsjwy431varnzoe6avb2649.png)
![\[ = V \left((3)/(5) + (2)/(5)\right) \]](https://img.qammunity.org/2024/formulas/mathematics/college/1aq52py97i1idlufq6sjuztetu6pc78pe8.png)
![\[ = V * (5)/(5) \]](https://img.qammunity.org/2024/formulas/mathematics/college/pgp8t863e1f2bmtyky67zxxg07w2t5pz8m.png)
![\[ = V \]](https://img.qammunity.org/2024/formulas/mathematics/college/bnvob6lce61hinngjpsfip25qy1b696v89.png)
Therefore, the total votes for the two people, the first and the second person combined, would be equal to the total number of votes cast
in the election. This occurs because the fractions used to represent their votes already account for the entire pool of votes cast in the election.