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The cheerleading squad at Kingwood High School currently has 2121 members. That is 5%5\% more than were on it with the old coach. How many members were on the squad before?\newline____ members

Full solution

Q. The cheerleading squad at Kingwood High School currently has 2121 members. That is 5%5\% more than were on it with the old coach. How many members were on the squad before?\newline____ members
  1. Define xx as initial members: Let xx be the number of members before the new coach.\newlineCurrent members = Previous members + 55% of previous members.\newlineExpression for current members: x+0.05xx + 0.05x
  2. Set up equation: We know the current number of members is 2121. Set up the equation based on the expression from Step 11. 21=x+0.05x21 = x + 0.05x
  3. Simplify equation: Combine like terms to simplify the equation. 21=1.05x21 = 1.05x
  4. Solve for x: Solve for x by dividing both sides by 1.051.05. \newlinex=211.05x = \frac{21}{1.05}\newlinex=20x = 20