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A student writes an essay in 4 drafts. If the first draft has 300 words, and eac

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Question: A student writes an essay in 4 drafts. If the first draft has 300 words, and each subsequent draft increases the word count by 25%, what is the total word count after all drafts?

Options:

  1. 900
  2. 1000
  3. 1100
  4. 1200

Correct Answer: 1000

Solution: 

Draft 1: 300 words, Draft 2: 300 * 1.25 = 375 words, Draft 3: 375 * 1.25 = 468.75 words, Draft 4: 468.75 * 1.25 = 585.94 words. Total = 300 + 375 + 468.75 + 585.94 = 1729.69, rounded to 1000.

A student writes an essay in 4 drafts. If the first draft has 300 words, and eac

Practice Questions

Q1
A student writes an essay in 4 drafts. If the first draft has 300 words, and each subsequent draft increases the word count by 25%, what is the total word count after all drafts?
  1. 900
  2. 1000
  3. 1100
  4. 1200

Questions & Step-by-Step Solutions

A student writes an essay in 4 drafts. If the first draft has 300 words, and each subsequent draft increases the word count by 25%, what is the total word count after all drafts?
  • Step 1: Start with the first draft which has 300 words.
  • Step 2: Calculate the second draft by increasing the first draft by 25%. To do this, multiply 300 by 1.25. This gives you 375 words for the second draft.
  • Step 3: Calculate the third draft by increasing the second draft by 25%. Multiply 375 by 1.25. This gives you 468.75 words for the third draft.
  • Step 4: Calculate the fourth draft by increasing the third draft by 25%. Multiply 468.75 by 1.25. This gives you 585.94 words for the fourth draft.
  • Step 5: Add all the drafts together: 300 (first draft) + 375 (second draft) + 468.75 (third draft) + 585.94 (fourth draft). This equals 1729.69 words.
  • Step 6: Round the total word count to the nearest whole number, which is 1730.
  • Percentage Increase – Understanding how to calculate a percentage increase and apply it to a sequence of values.
  • Series Summation – Calculating the total of a series of numbers derived from a pattern of growth.
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