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Answer :
Final answer:
To complex percentage problem solving, calculate the initial percentage, determine the absolute change, adjust the total number, and then calculate the new percentage.
Explanation:
Let's create a complex percentage problem and then describe the steps to solve it. Problem: A closet contains 37 shirts, of which 9 are red. If a student gains 24% more red shirts, what will be the new total number of shirts and what will be the percentage of red shirts?
- Calculate the percentage of red shirts in the initial scenario. Set up the equivalent fractions: 9/37 = x/100. Cross multiply and solve for x to get the initial percentage of red shirts.
- Calculate the increase in red shirts. 24% of 9 red shirts is approximately 2 (always round to the nearest individual object).
- Add the new red shirts to the total shirts. The total will be 37 + 2 = 39.
- Re-calculate the percentage of red shirts. Now there are 11 red shirts and 39 shirts in total. Set the equivalent fractions: 11/39 = y/100. Solve for y and round as necessary.
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