We appreciate your visit to Calvin and Susie are running for class president Of the first 80 of the votes that are counted Susie receives 53 and Calvin receives 47. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
63%
Step-by-step explanation:
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In order to overtake Susie in the election, Calvin must obtain at least 59% of the votes still cast.
Let's assume that there are a total of 100 votes in the election. If Susie receives 53% of the first 80 votes, she gets:
0.53 x 80
= 42.4 votes
And if Calvin receives 47% of the first 80 votes, he gets:
0.47 x 80
= 37.6 votes
So, Susie is currently ahead by:
42.4 - 37.6
= 4.8 votes
Now, let's assume there are N remaining votes. We want to know what percentage of the remaining votes Calvin needs to win, so we can set up an equation:
0.47 × (80 + N)
= 0.53 × (80 + N) - 4.8
Simplifying this equation, we get:
0.06 x (80 + N)
= 4.8
Dividing both sides by 0.06, we get:
80 + N = 80
N = 80
So, there are 80 remaining votes. To find the percentage of these votes that Calvin needs to win, we can set up another equation:
0.47 x (80 + 80) + x/100 x 80
= 0.53 x (80 + 80)
Simplifying this equation, we get:
37.6 + 0.8x = 84.8
Subtracting 37.6 from both sides, we get:
0.8x = 47.2
Dividing both sides by 0.8, we get:
x = 59
So, Calvin needs to win at least 59% of the remaining votes to catch up to Susie in the election.
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