Answer:
To find out how many votes were cast for "yes" and "no," you can set up a proportion based on the given ratio of 4 to 3 for "yes" to "no" votes.
Let x be the number of "yes" votes, and y be the number of "no" votes. You're given that the ratio of "yes" to "no" votes is 4 to 3, so you can write:
x/y = 4/3
Now, you know that there were a total of 5593 votes, so you can write another equation based on the total number of votes:
x + y = 5593
You have a system of two equations:
x/y = 4/3
x + y = 5593
You can solve this system of equations simultaneously. First, solve equation 2 for x:
x = 5593 - y
Now, substitute this expression for x into equation 1:
(5593 - y)/y = 4/3
Cross-multiply:
3(5593 - y) = 4y
Now, expand and simplify:
16779 - 3y = 4y
Add 3y to both sides:
16779 = 7y
Now, divide both sides by 7 to solve for y:
y = 16779 / 7
y = 2397
So, there were 2397 "no" votes. Now, you can find the number of "yes" votes by using equation 2:
x + 2397 = 5593
Subtract 2397 from both sides:
x = 5593 - 2397
x = 3196
So, there were 3196 "yes" votes.
In total, there were 3196 + 2397 = 5593 votes, as given in the problem statement.
Explanation:
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