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The PTA at Danville High School hosts a dinner and auction every year to raise money for music and art programs. This year's event raised $72,837\$72,837, which is 10%10\% less than last year's. How much was raised last year?\newline$\$____

Full solution

Q. The PTA at Danville High School hosts a dinner and auction every year to raise money for music and art programs. This year's event raised $72,837\$72,837, which is 10%10\% less than last year's. How much was raised last year?\newline$\$____
  1. Define previous year's total: Step 11: Define the previous year's total as xx. This year's total is 10%10\% less than last year's, so it's 90%90\% of last year's total. Mathematically, this is expressed as 0.9x=$(72,837)0.9x = \$(72,837).
  2. Solve for x: Step 22: Solve for x to find last year's total.\newlineRearrange the equation: x=$72,8370.9x = \frac{\$72,837}{0.9}\newlinex = $80,930\$80,930