Question

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 4 to 5. If there were 4160 no votes, what was the total number of votes?

Answer 1

The total number of voters was 7488

Explanation:

Let us solve this question using the ratio method

∵ The ratio of yes votes to no votes was 4 to 5

∵ There were 4160 no votes

∵ We need to find the total number of votes

∵ The total of the ratio = 4 + 5 = 9

→ By using the ratio method

→ YES : NO : Total

→ 4 : 5 : 9

→ x : 4160 : y

→ By using the cross multiplication

∵ 5 × y = 4160 × 9

∴ 5y = 37440

→ Divide both sides by 5 to find y

∵
`(5y)/(5)` =
`(37440)/(5)`

∴ y = 7488

∵ y represents the total number of voters

∴ The total number of voters was 7488