The number of members of a chess club increased by 15% from... | SAT Percentages Question, Answer Explained

Math · Problem-Solving and Data AnalysisMedium

The number of members of a chess club increased by $15\%$ from $2022$ to $2023$ and then increased by $20\%$ from $2023$ to $2024$ . The club had $276$ members in $2024$ . How many members did the club have in $2022$ ?

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Answer: 200

Let $m$ be the number of members in $2022$ . The club had $1.15m$ members in $2023$ and $1.20(1.15m) = 1.38m$ members in $2024$ . Solving $1.38m = 276$ gives $m = 200$ .

Adding the percents to get a $35\%$ increase and solving $1.35m = 276$ gives about $204.4$ , which isn't even a whole number of members.

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