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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%.

What percentage of the remaining votes does Calvin need to receive to catch up to Susie in the election?

Answer :

Answer:

63%

Step-by-step explanation:

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Rewritten by : Barada

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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