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Problem 285

Algebra Difficulty 2.1 Find the answer CEMC Cayley

Meg started with the number 100. She increased this number by $20\%$ and then increased the resulting number by $50\%$ . What was her final result?

Your answer

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

$20\%$ of the number 100 is 20, so when 100 is increased by $20\%$ , it becomes $100 + 20 = 120$ . $50\%$ of a number is half of that number, so $50\%$ of 120 is 60. Thus, when 120 is increased by $50\%$ , it becomes $120 + 60 = 180$ . Therefore, Meg's final result is 180.

Source: Omni-MATH, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.