Pregunta
Word problem on proportions: Problem vpe 2
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 8325 total votes, how many yes
votes were there?
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 8325 total votes, how many yes
votes were there?
Ask by Daniel Bowman. in the United States
Jan 25,2025
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There were 3,700 yes votes.
Solución
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The Deep Dive
To find the number of yes votes, we can set the ratio of yes votes to no votes as 4x to 5x, where x is a common multiplier. Since the total votes were 8325, we have:
4x + 5x = 8325
9x = 8325
x = 8325 / 9
x = 925
9x = 8325
x = 8325 / 9
x = 925
Now we can find the number of yes votes by multiplying the yes votes ratio (4x) by x:
Yes votes = 4 * 925 = 3700.
Yes votes = 4 * 925 = 3700.
So, there were 3700 yes votes.
If you want to double-check, you can also determine the no votes:
No votes = 5 * 925 = 4625, and adding those gives us 3700 + 4625 = 8325, confirming our answer!
No votes = 5 * 925 = 4625, and adding those gives us 3700 + 4625 = 8325, confirming our answer!
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