Question

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 2 to 3. If there were 1965 no votes, what was the
total number of votes?

Answer 1

Answer:

there were total 3275 votes.

explanation:

• votes for yes: 2v

• votes for no: 3v

• total: 2v + 3v = 5v

find for single ratio

3v → 1965

1v →  1965/3

1v → 655

total votes:

5v → (655*5)

5v → 3275

Answer 2

Answer:

3275

Step-by-step explanation:

Given ratio:

yes : no = 2 : 3

If there were 1965 no votes then,

2 : 3 = x : 1965  (where x is the number of yes votes)

Solve for x:

2 : 3 = x : 1965

⇒ $\dfrac23=\dfrac{x}{1965}$

⇒ 2 × 1965 = 3x

⇒ 3x = 3930

⇒ x = 1310

Therefore there were 1310 yes votes to 1965 no votes, so the total number of votes:

⇒ total votes = 1310 + 1965 = 3275